## A Penny Doubled Everyday

July 10th, 2006 by Alan YuA few years back I was having a conversation with some people on how whenever you decide to invest in something for the long term you should always think ahead on what would be the best choice in the long run while having persistence to follow through with it. The scenario was if you were given a choice to receive one million dollars in one month or a penny doubled every day for 30 days which one would you choose? When I first heard this, I knew that the penny doubled everyday must have been the better choice to go with as it was a little obvious to me that it had to be a trick question of some sort. But how much better would it be was not something that I knew immediately. So to demonstrate this, it was actually written out with all the calculations and it turned out to something like this:

**Day 1:** $.01

**Day 2:** $.02

**Day 3:** $.04

**Day 4:** $.08

**Day 5:** $.16

**Day 6:** $.32

**Day 7:** $.64

**Day 8:** $1.28

**Day 9:** $2.56

**Day 10:** $5.12

**Day 11:** $10.24

**Day 12:** $20.48

**Day 13:** $40.96

**Day 14:** $81.92

**Day 15:** $163.84

**Day 16:** $327.68

**Day 17:** $655.36

**Day 18:** $1,310.72

**Day 19:** $2,621.44

**Day 20:** $5,242.88

**Day 21:** $10,485.76

**Day 22:** $20,971.52

**Day 23:** $41,943.04

**Day 24:** $83,886.08

**Day 25:** $167,772.16

**Day 26:** $335,544.32

**Day 27:** $671,088.64

**Day 28:** $1,342,177.28

**Day 29:** $2,684,354.56

**Day 30:** $5,368,709.12

Quite a big difference once you look at it as you would be getting over 5 million dollars with the penny doubled everyday for 30 days route. The funny thing when I look at this is how it is almost like starting a business and trying to make a profit. In the beginning you struggle a lot to get things going and afterwards once it reaches to a point it just takes off smoothly. How does that analogy go again? It is something like starting a business is like a rocket ship taking off into space. You spend 80% of your fuel during take off and once it reaches a certain point it flies smoothly with minimal consumption.

March 3rd, 2007 at 8:11 pm

thank you for sharing that in the internet.

April 19th, 2007 at 4:05 pm

This was a wonderful lesson. I was thinking just like Mr. Alan Yu. I went with the penny doubled everyday. When I seen just this actually visualized. What a remarkable difference.

I enjoy reading lessons like these. You can become more insightful.

Thank you

Audre Chaney

April 20th, 2007 at 6:43 am

Well, if the question was “Would you rather have a million dollars, or a penny doubled every day for 27 days,” the lesson wouldn’t really be there, would it?

Don’t be afraid to challenge your assumption…because eventually, somebody else will.

May 9th, 2007 at 8:59 pm

actually joewatch the lesson would still be there. because the 5+ million dollars is just day 30. Now you have to add all 30 day together. so even at day 27 you should have in excess of 1 million dollars.

at the end of 30 days when you add the sum of all 30 days you have over 12 million dollars.

May 18th, 2007 at 5:25 am

On the “start with a penny and double every day for 30 days

= $ 10,737,418.24″

By my calculation (2) raised to the 29th power is

1,073,741,823.00 which a factor 100 times greater than your answer .

May 18th, 2007 at 10:11 pm

Wow, this is starting to feel like a math class for what was intended to be more of a expanding one’s way of thinking type of post.

But in general, $10,737,418.24 would be the 31st day if you were using the penny route. My guess is that your calculation was based on the fact that you first went .01 cent multiplied by 2 which equals .02 and you considered that as day one when really the first day should be just the one penny.

Similar to your next example, it seems like you went 2 multiplied by two which equals 4 and you considered that as day one when the first day should be the two by itself. Otherwise your 29 day calculation is really using thirty days for that example.

Just to note, the number I came up with in your example would be 1,073,741,824.00 with the way you calculated it and I’m not really sure what you are exactly implying with the 100 times greater statement as if you are multiplying it by “2″ you are basically trying to say “Two dollars doubled every day” which of course would be a lot greater in value. For 29 days to get similar results you would have to calculate it as “.02″ doubled for 29 days.

December 3rd, 2007 at 7:14 pm

The original information is correct, all comments are wrong. My dad needed this answer for a test in his job an there was NO answer over 5.5 million. BTW: His answer was right.

December 3rd, 2007 at 7:16 pm

well, not ALL comments are wrong:)

December 30th, 2007 at 11:35 am

What everyone has forgotten is if you start with a penny and the next day you double it at 2 pennies, well you actually have a total of 3 pennies…..so at the end of the 30 days make sure you add up all the numbers. This would be about double of what your final day number is.

January 9th, 2008 at 3:45 am

No the $ 5.4 million (approx.) should be the final result, as double your money means that yesterday’s sum is already included in today’s amount.

January 24th, 2008 at 5:21 pm

Ok, not to harp on about this, but if you use the power method, what exactly would you do to get the right answer?

would it be .02 raised to the 28th power? What is the equation for this?

January 29th, 2008 at 5:29 am

It is a simple question with a simple answer. Why do you make something out of it that it is not?

February 21st, 2008 at 6:07 pm

Just to let you know that on Day 24, you have entered $83,386.08, when in fact it should be $83,886.08, but the amount on Day 25 and all others are correct. Just a typo error when entering the amount.

February 21st, 2008 at 6:42 pm

Good eye there Deb. I’ve made the change. Thanks.

March 18th, 2008 at 6:19 pm

What is the darn equation for the love of god tell me!!!!!

March 24th, 2008 at 6:24 pm

So.

Any ideas on how to actually apply this?

It’s one thing to double one penny to two (“Oh, look. There’s a penny on the floor. I just made it to step two.”). But how on earth would you keep this up consistently for 30 days straight. That’s one month. One million in one Month?!

April 18th, 2008 at 7:31 am

Adjust your income for taxes and see how things work out

Take a penny and reduce it by 28% for income taxes then double the $.0072 and reduce it again before doubling and so forth.The TOTAL income net of taxes is only $922.04.

There is a real lesson here. There is real power in doubling your money but only if you shelter it from taxation.

Tim

There is a great lesson here

April 18th, 2008 at 8:18 pm

edward fernandez said 2 raised to the 29th power was 1,073,741,823. Strange. I use a scientific calculator available on the internet (http://www.calculator.com/calcs/calc_sci.html) and I get 536870912. If I raise 2 to the 30th power, I get

1073741824.

April 23rd, 2008 at 8:04 am

edward fernandez made a basic mistake, it is the correct number but he forgot it was pennies (.01) and not dollars (1.00), so you divide by 100. The correct total for the 30 days is $10737418.23.

May 23rd, 2008 at 10:47 am

Actually, you are all wrong when considered what he said. See he is inacurate to what he saying. Because if you get one penny a day and double it, its only .02 cents per day.. not compounded daily. See if the question was to be worded, if you doubled the amount in your bank starting with a penny, then it would be a large number. The quote “a Penny doubled everyday” is not right. that would really mean, day 1 = .01 * 2 = .02.. well now on day 2 + .01 *2 = .02. Now you have .04 cents in the bank after 2 days. …and so on.. so you really aren’t saying the right words.

June 17th, 2008 at 1:17 pm

The scenario = “if you were given a choice to receive one million dollars in one month or a penny doubled every day for 30 days, which one would you choose?” The way this scenario is worded means that you will only receive 2 pennies every day for 30 days. ONE penny doubled (0.1×0.2) will ALWAYS equal .02! Reword the scenario and the title of this thread because it doesn’t make sense to choose a penny doubled every day over 1 million dollars.

June 25th, 2008 at 4:57 pm

ZOMG what’s the frickin mathematical formula to figure it out?!?

June 28th, 2008 at 7:02 pm

you guys are so arguementative. “he is right, you are wrong!”. just get over it, their just numbers.

July 4th, 2008 at 7:16 pm

Okay…I just saw this on the happening. And I wasn’t sure about it, because the guy said that you would have over 10 000000$. So day 1 is 0.01$ and day 2 is 0.02$ and day 3 is 0.04$ and so on, but after day 30, do you add every day together? or just end with $5,368,709.12?

Anyone have a straight answer to this one

July 7th, 2008 at 4:52 am

Zoggy, You would have to add all the days together, per on day one you have .01 and day two you get .02 handed to you, So really on day two you would have a total of .03. So if you add everyday together, per your doubeling the previous days amount.

July 10th, 2008 at 9:31 am

Bottom line, doubling with a penny ads up quick IF you can stomach dropping 500k to TRY to double it with stocks. Start a mock portfolio with think or swim and put it to the test.

July 23rd, 2008 at 7:09 am

WOW, most of you are way too technical. It’s an analogy people. An example on how compounded efforts (and interest) work. For success to occur you need to give the most on the front end for a large of amount of time, but even though you may not see immediate results they are compounding and the pay off will occur if you have the tenacity and intestinal fortitude to stick with it. whatever “IT” may be.

By adding in the choice of the million in one month, it shows the danger of always going for the quick and easy. It may work out OK but you may be missing out on a much bigger and better deal.

August 10th, 2008 at 4:59 am

CARA, To get any particular dayâ€™s amount use this formula: 2 raised to the (n-1) power . To help you understand, on day 1 (n=1), the total for that day is 2 raised to the (1-1) power = 2 raised to the (0) power = 1. In fact, on day one you receive one cent. Likewise, on day 5 (n=5), the formula gives â€œ2 raised to the 4th power (5-1)â€, or sixteen cents.

To get the sum of all thirty days, use:(([SIGMA]2 raised to the (n-1) power)), n from 1 through 30

(this means you calculate the formula for the first day and then again for each succeeding day and you keep adding the totals every day), from 1 to 30. To get the sum up through any other number of days, just use that number of days for â€œnâ€. After youâ€™ve tried this out a few times, here is a shortcut (actually this is the solution for the summation formula I gave above – the second formula with the Greek â€œsigmaâ€).

The sum through â€œnâ€ days is 2 raised to the (n)power less 1. So, on day 5 you have â€œ2 raised to the 5th power less 1â€, which is thirty-one cents, and that, indeed, is equal to the 1 cent, plus 2 cents, plus 4 cents, plus 8 cents, plus 16 cents (5th day), that youâ€™ll get doing it the summation way (but now you understand).

Sorry, but this editor won’t allow me to paste the mathematical symbols/formulae (which would make this easier to read).

August 25th, 2008 at 2:31 pm

Thank you. Me and my dad were dicussing this and he didnt believe me. So than k you for doing this!!!!!!!!!!!!!

August 27th, 2008 at 1:29 pm

This was a GREAT blog! I’m at work right now contemplating actually doing this project…if only I can just get to day 28!

September 5th, 2008 at 6:00 pm

julian is correct, you have to now add all the numbers together, you get a penny on day one, two pennies on day two, 4 pennies on day three, at the end of 3 days you have 7 pennis, not four.

September 19th, 2008 at 4:09 pm

I knew this for years, the right answer is

$5,368,709.12 for 30 days.. 31 Days > 10,737,418.24

Thats What it is!

September 26th, 2008 at 2:03 am

If you get to keep your 1 cent the first day, two cents the second day, etc., you will have a total of $10,737,418.23 at the end of 30 days. THAT’S the correct answer. You don’t lose every single day’s investment and have it replaced by twice the amount. It adds up every day, like interest in the bank adds up.

October 7th, 2008 at 11:53 pm

[2^(n-1)]/100

October 14th, 2008 at 9:42 am

Here is the REAL DEAL answer to everyones questions!!

If you start with 1 penny(your principle) on day one and double it each day for thirty days (meaning that you are earning intrest then at the end of 30 days you will have 536,870,912 pennies which will be $5,368,709.12.

However, there is another scenario that says someone will pay you 1 penny on day 1 and double the amount they pay you on each additional day there after for 30 day. this means they pay you (1 penn on day 1) (2 pennies on day 2) (4 pennies on day 3) (8 pennies on day 4) and so on….. since they are paying you at the end of each day you keep the money from each day.

Therfore you will add up the total for days 1 through 30. this means they will have payed you

1,073,741,823 pennies or $10,737,418.23

October 14th, 2008 at 10:19 am

The actual formula is (2^n)-1 for your answer in pennies, divided by 100 for the answer in dollars.

EG: (2^3)-1=7

1+2+4=7.

Real answer is 10,737,418.23 for a thirty day month.

October 17th, 2008 at 7:22 am

This was hilarious! So many people needing to prove their answer was the right answer just got better and better as I read each entry. I was totally cracking up. Then, the tax issue. That just blew me away!

Thank you all for making a boring day bearable.

October 19th, 2008 at 6:09 am

I’m the dumb one here. But all my life I’ve loved gigantic numbers!!!!!!!!!!!!! Any way I was wondering what would be an easier way to figure the amount after 2 months 3 months etc.

October 31st, 2008 at 6:42 pm

10 million doller’s! i’m going to get a legal document and see if anyone would sighn to give me a penny a day and double it in return for 1 million

November 1st, 2008 at 9:28 pm

Steigertiger you are the dumb one because the formula is listed ABOVE!!!!! Just put in the numbers and pooof the answer appears…Now if you cannot figure this out call hooked on phonics for numbers.

November 6th, 2008 at 6:00 pm

The calculation on day 24 is wrong, I believe it would be 83,886.08.

November 7th, 2008 at 1:41 pm

a 31 day month would be $24,159,320.76

that is the actual sum of all the days. =]

November 7th, 2008 at 3:54 pm

2 to the power of 30=1073741824 or 1073741824 pennies. 100 pennies make a dollar. 1073741824 divided by 100=$10,737,418.24. I don’t think I’m wrong but if I am o well.

November 8th, 2008 at 9:57 pm

No No Josh A, if that is your name,and we all know its propable not. A 31 day month would be $21,474,836.47 however I’m sure you have realized your mistake. By the way Gubble Bum you my friend are correct;-)

November 11th, 2008 at 1:07 pm

i think everyone is to analytical on the wording of the secerio its meant for fun. however for the people that are confused about whether you have 5 mill or 10 mill what is happening is that the amount of money you are given is doubled meaning that if you have 4 cents you are not given 8 cents the next day you are given 4 cents they are matching the money in a sense doubleing it everyday so on day 30 you have roughly 5 million dollars and on day 31 you will have 10 mill not 10 million on day 30 just cause you can add the numbers please take an accounting class to learn more

November 18th, 2008 at 8:43 am

It’s a great way to increase money, but interest doesn’t double your money. It’s only a fraction percentage of th eprincipal, which means you actually have to deposit the dobled amount. I don’t know about you, but I don’t have $167,000 to deposit on day 25 to double it!

Just my 2 cents worth (get it? 2 cents!)

November 19th, 2008 at 9:58 pm

shoot, i dont have the money i need to put in on day 12. what are you talking about?

but i sure would love to do this and get rich if i had it to do. lol.

shay.

November 25th, 2008 at 11:02 am

Ok… I teach high school math and a student posed this problem to me. I gave her an answer and she didn’t believe me, so we came across this in trying to verify. Here’s how I explained it to her…

Day 1 = 0.01 = 2^0(.01)

Day 2 = 2(0.01) = 2^1(.01)

Day 3 = 2(2(0.01)) = 2^2(.01)

Day 4 = 2(2(2(0.01))) = 2^3(.01)

and so on…

Day 30 = 2^29(.01) = 5368709.12

December 1st, 2008 at 1:50 pm

Okay I’m getting the same answer as most of you which is the total for 1 month is 10,737,418.23. I had to do this in my college math class. We were supposed to figure out that and then figure out how many DAYS it would take to become a googolaire….10 to the 100th power. Anyone know the answer to that???

December 3rd, 2008 at 5:29 pm

The answer is on a 30-day month, you would end up with $5,368,709.12. In a 31-day month, you would end up wih $10,737,418.24. You have 1 penny on day one, 2 pennies on day 2, 4 pennies on day three, and just keep doubling what you had the prior day for the next day. That is how you get this result.

December 4th, 2008 at 9:30 am

That is just saying how much you get paid each day. It’s not saying how much you made for the entire month.

Day 1: $.01

Day 2: $.02

Day 3: $.04

Day 4: $.08

Day 5: $.16

Day 6: $.32

Day 7: $.64

Day 8: $1.28

Day 9: $2.56

Day 10: $5.12

Day 11: $10.24

Day 12: $20.48

Day 13: $40.96

Day 14: $81.92

Day 15: $163.84

Day 16: $327.68

Day 17: $655.36

Day 18: $1,310.72

Day 19: $2,621.44

Day 20: $5,242.88

Day 21: $10,485.76

Day 22: $20,971.52

Day 23: $41,943.04

Day 24: $83,886.08

Day 25: $167,772.16

Day 26: $335,544.32

Day 27: $671,088.64

Day 28: $1,342,177.28

Day 29: $2,684,354.56

Day 30: $5,368,709.12

Add it all together and you get 10737418.23

December 4th, 2008 at 1:40 pm

thanks needed 2 figure it out 4 extra credit in class

December 6th, 2008 at 9:08 am

December 6th, 2008 at 9:09 am

suckers its all wrong he didnt carry over any thing i am always right

December 6th, 2008 at 9:09 am

December 6th, 2008 at 9:13 am

when do u check this stuff peeps rite

December 11th, 2008 at 11:02 am

I’d keep only one penny! (one from 1966). you can keep your million!

December 11th, 2008 at 11:46 pm

hahaha i asked this girl in my class if she would rather have a quarter a day for a month or a penny doubled everyday and she said “is that a trick question, a quater a day duhh!” then i told her that with a penny doubled you get more than a million dollars and she wanted proof so thank you for all the proof i need!

December 30th, 2008 at 12:04 pm

Every day, you only add enough pennies to double the amount. You don’t add twice the amount every day. Start with a penny.

+1=2

+2=4

+4=8

+8=16

+16=32

+32=64

+64=128

+128=256

…and so on and so on. Every day, you match the previous day’s new sum. You don’t double it and then add the new amount. (Well, you could, if you have just that many pennies and wanted to really speed up the process). But at the end of 30 days, you’d have $5,368,709.12.

If you were really ambitious and were to actually double the amount and THEN add the pennies, you’d end up with about $10,737,418.23.

Trust me….if I had the pennies to do this every day, I wouldn’t be working my 8-5 job.

January 5th, 2009 at 11:31 am

Guys! Gals! who cares if it gives 1 million, or 5 million, or 10 million, The point is, that it’s whatever million dollars richer than day 1!

January 8th, 2009 at 12:04 pm

impressive question. i’ve seen this on The Happening and my dilemma is: the final answer is with or without adding all days together?

and the amazing thing is that the amount earned in the 31st day is the same with the amount earned if 30 days are added together…

…i mean duh…they were doubled

i dont know its really addicting

January 23rd, 2009 at 9:29 am

If you are strictly doubling the money and the final answer is 5,368,709.12 the the equation is

(x)*2^t

x being the amount started with on day 1

t being the number of days

if the answer is all of the numbers added together at the end, then the equation is

((.01)*2^29)*2

February 19th, 2009 at 2:58 am

there are other pactical applications fo this equation

I do genealogy and have used this in figuring out the number of names that would be in a pedagree chart. In 45 generations there would be over 98 billion names.

February 27th, 2009 at 10:36 am

I been working on this for years in my life and it work for me.double a penny in 2 years not 31 days.and I know how it work!

March 2nd, 2009 at 3:33 pm

Don’t put on the powers it’ll give you the wrong answer if you actually try the doubling instead of finding a short cut you’ll get the right answer believe me I tried it. The final amount is $5,368,709.12. You don’t add the sums from all the days either

March 23rd, 2009 at 5:31 pm

I’D HAVE TO SAY I’D TAKE THE MILLION DOLLARS. Because there is no such thing as a “penny” in my country. It is a CENT. Since there are no “pennies”, it would make One Million Dollars a much more profitable venture!

March 27th, 2009 at 8:16 am

Sorry Steven but you are wrong. It does work using powers. It is called math and there is an equation for everything. You just have to know how to use it.

March 27th, 2009 at 1:50 pm

It is funny how everyone loses the point of teaching something like this. The point is sometimes we settle for less than the best by conceding in life. If we keep working our outcome will be better than settling on a less than perfect sure-thing. The last few days will in fact be our most productive if efforts are all-out until the end!

April 14th, 2009 at 9:34 am

another equation that could be used is the future value of a dollar equation. which is FV=PV(1+i)to the power of n

fv=0.01(1+1)to the 30th power

fv=.01 x 2 power 30

fv = 10,737,418.23

n= to the period which is 30 days ans i= interest factor which is 100% because it is getting doubled

so there u go another way

April 27th, 2009 at 5:27 pm

How do you figure this out using log on the calculator?

May 15th, 2009 at 6:01 pm

I know how to apply the scenario but it wouldn’t be in 30 days but even a year would be fine. Wouldn’t it?

Brian

May 18th, 2009 at 1:51 pm

sme people are saying that it wouls only be 0.02 cents every day because of the way its worded. while i fully understand how you got it isnt fully correct “a penny doubled every day for a month” is to have a penny double it, double it, double it, and so on as in the article.

it is a trick question they are supposed to trick you so you have been tricked, big deal who cares. it was meerly an article to get people to think in the long run.

May 24th, 2009 at 6:35 pm

What would be the formula to use if i was to design a program using a psuedocode? and the total has to be displayed in dollars.

May 28th, 2009 at 3:09 am

“A PENNY EARNED IS A PENNY SAVED.”

-A. LINCOLN- SO START SAVING NOT DOUBLING.

May 28th, 2009 at 8:10 am

…a penny saved is a penny earned…so start saving not doubling. here’s a very simple solution to that penny thing: 30 days=30 houses; on the 1st day you collected the 1st penny from the 1st house; 2nd day you collected 2 pennies from the 2nd house, and so on…at the end of 30 days, you have collected a total of 536,870,912 pennies which is = to $5,368,709.12. it means, there are no more pennies left among those 29 houses. thus, $10,737,418.24 in 30 days is not possible. 31 days, yes.

one time i deposited a gallon of pennies in the bank. do you know how much? just about $30-ha-ha-ha. when usps started accepting pennies in vending machines, i used plenty of them to buy stamps.

May 28th, 2009 at 8:17 am

or maybe you can use a bar graph. don’t worry about that penny thing. someday soon the govt. will phase out that coin.

June 2nd, 2009 at 8:36 am

I might only be 14 but i can tell you one thing dont matter what you get money you probly didnt have before so be thankful they put this site on for us!!

:):):):):):):):):):):):):)

June 2nd, 2009 at 8:43 am

just to let you know you guys are all really smart and if i were you i would try to get a good job and show people what you can do!

June 2nd, 2009 at 11:00 am

i JUSZ Wanted to leave a comment

June 21st, 2009 at 9:45 pm

OK now, I’ll settle this as this was looked at in many angles..First of all, I’m a retired math ‘guru’, if you will’ and it boggles my mind that some of the younger people on this subject were right and the so called math teacher was absolutely dead ‘WRONG’. Congrats to all you smart ones for looking at this with open minds and for the block heads out there here ARE the REAL FACTS: Sorry to…Stephen,DCecil21,certified ilokano american, Christene, and Shanna the math teacher…you are all wrong, you don’t need a 31st day to get the totel. You ABSOLUTELY DO need to add all the days because what you faled to realize is the fact that you KEEP ALL the pennys you recieve on EACH day. Look at the key words here and there’s a point in there. Gubble Bum, Mitchell-licous, Alisha, 2muchtime, and Josh are ALL CORRECT!!!!!! Pay GOOD attention to questions before you decide to give a dumb answer..(example) Every day you add the ‘doubled’ amount to ‘each’ total you got ‘each’ day so the total IS TRUELY>>> $10,737,418.23. THIS IS IT!!! NO IF’S AND’S OR BUT’S….

June 21st, 2009 at 9:57 pm

EXAMPLE # 2: You add day one total to day two total then you add both totals from day 1 and day 2 to day three then you add all three days to day 4 total and so on. If you still don’t get it, get help soon you poor souls,this isn’t that hard. ( the key word here is (DOUBLE) SO ‘YES’ the final number of 5,368,719.12 is ‘doubled’ because ALL the totals get added to give you $10,737,418.23 IS in only 30days NOT 31!!!!!!!

June 21st, 2009 at 10:08 pm

EXAMPLE #3…If this last example doesn’t prove the fact then the few of you who think you’re right REALLY need help…. On day one you get .01 on day ten you get 5.12 for ‘that day only’ on day 20 you get 5242.88 for ‘that day only’ on day 30 the amount of 5,368,709.12 is the amount you got for THAT DAY ONLY so THINK REAL HARD, what happened to the 2,684,354.56 you got the day before??? You STILL have what you got the day before and every day before that so this shows that you DO add EVERY SINGLE DAY TO EACHOTHER to give you $10,737,418.23 in 30 days. (THE END)

June 21st, 2009 at 10:25 pm

By the way, under a certain law wich was imposed a few years back that deals with anything we see on tv or movies or hear on radio certain facts MUST be mentioned CORRECTLY in non-science fiction movies. Tha reason I mention this is because in the movie “The Happenning” actor John Leguizamo brought up this ‘penny doubled’ thing and HE gave the correct answer. This is only imposed to anything considerd educational info in movies since so many people are influenced by what they see in movies and though this movie is not a true story, the basic idea is (‘what if’) this movie teaches to think “what if”………………..

June 21st, 2009 at 10:57 pm

OK I had to come back on this cuz i read every comment and saw a lot of confusion on wording so I will once again settle this since I actually have the CORRECT wording in my hands as we speak:::: “If I gave you 1 penny today, 2 pennies tomorrow, 4 pennies the next day and keep doubling each days total every day after, how much will you have after 30 days?” The ONLY TRUE ANSWER IS $10,737,418.23 AS YOU WOULD “ADD” EACH AND EVERY DAY’S TOTAL TO EACHOTHER and that’s that.

June 29th, 2009 at 11:00 pm

Ok I’d like to comment on something that is causing

the comotion. It’s looking at the problem

from 2 scenarios. Some people are trying to multiply

by 2 and some are squaring when they should be

multiplying that days number times

itself for the next days amount.

Proof: Ok say John hits lottery and gives Lori $100

dollars ond Monday(Day 1). She’s so excited, but John

isn’t through yet. He tells her if she doesn’t spend and of $100

bucks, and she puts it in an envelope, the next day(DAY 2) he will

DOUBLE what is in envelope. looks inside, crisp $100 bill. Now it’s simple.

To double it, he must place ANOTHER $100 inside.

To her surprise, he continues on third day. Inside envelope

Lays Lauras $200. Think of double or nothing bet. Now he will place

$400 bucks inside.

Day 1 : $100 1 cent

Day 2 : $200 2 cents

Day 3 : $400 4 cents

Day 4 : $800 8 cents

Day 5 : $16,000 1,600 cents

Now this seems simple. BUT, depending on how you

take the question is the key: BOTH WAYS ARE RIGHT

Day 1 : $100

Day 2 : $200

Day 3 : $400

Day 4 : $1,600

Day 5 : $2,560,000

so if John doubles previous amount following Day 30, then

over 10 mill….

July 19th, 2009 at 7:12 am

Day 1 = $0.01 (Now in total you have $0.01)

Day 2 = $0.02 (Now in total you have $0.03)

Day 3 = $0.04 (Now in total you have $0.07)

Day 4 = $0.08 (Now in total you have $0.15)

Day 5 = $0.16 (Now in total you have $0.31)

Day 6 = $0.32 (Now in total you have $0.63)

Day 7 = $0.64 (Now in total you have $1.27)

Day 8 = $1.28 (Now in total you have $2.55)

Day 9 = $2.56 (Now in total you have $5.11)

Day 10 = $5.12 (Now in total you have $10.23)

Day 11 = $10.24 (Now in total you have $20.47)

Day 12 = $20.48 (Now in total you have $40.95)

Day 13 = $40.96 (Now in total you have $81.91)

Day 14 = $81.92 (Now in total you have $163.83)

Day 15 = $163.84 (Now in total you have $327.67)

Day 16 = $327.68 (Now in total you have $655.35)

Day 17 = $655.36 (Now in total you have $1310.71)

Day 18 = $1310.72 (Now in total you have $2621.43)

Day 19 = $2621.44 (Now in total you have $5242.87)

Day 20 = $5242.88 (Now in total you have $10,485.75)

Day 21 = $10485.76 (Now in total you have $20,971.51)

Day 22 = $20971.52 (Now in total you have $41,943.03)

Day 23 = $41943.04 (Now in total you have $83,886.07)

Day 24 = $83886.08 (Now in total you have $167,772.15)

Day 25 = $167772.16

(Now in total you have $335,544.32)

Day 26 = $335544.32

(Now in total you have $671,088.63)

Day 27 = $671088.64

(Now in total you have $1,342,177.27)

Day 28 = $1342177.28

(Now in total you have $2,684,354.55)

Day 29 = $2684354.56

(Now in total you have $5,368,709.11)

Day 30 = $5368709.12

(Now in total you have $10,737418.23)

If your answer is 100 times greater than $10,737,418.23 you have to remember you started in pennies. There are 100 pence in every dollar. So the answer is $10,737,418.23.

End of Question.

July 29th, 2009 at 12:41 pm

What If It’s A 31 Day Month

August 4th, 2009 at 9:31 pm

Thats it! I’m calling the FTC. Your all out of order, this whole thread is out of order!

I’m ending this right now…..

This has nothing to do with math. As others have eluded too. It is an issues of semantics…nothing more, nothing less. It is evident from the posts…that most of us can do the math…be it long hand or with a sci calculator, or if your a self proclaimed genius like myself…then you are fortunate enough to just run the numbers in your head and whala!

So really, it never should have been a discussion about math…but rather–a discussion about semantics.

Wait a minute! It should not have been a discussion about either of those things. What the hell was the point of the original post anyway?

See! Thats why I’m calling the FTC…there is trickery going on here, and I’m going to get to the bottom of it.

Incidentally, my interpretation of the post would have been the same as the authors. But I refuse to even mention a number…after having witnessed the blasphemous rantings of the masses.

So, in conclusion: Most of you neophytes meandered down the wrong path.

I can just feel the love already.

August 20th, 2009 at 9:30 am

The formula is (2^n-2^0)/100.

September 18th, 2009 at 9:06 am

Now let me tell you why this is wrong. Im going by your answers. You said by the end of the 30 days the pennies total 10,737,418.23 right? now what you are forgetting is this is the total amount in pennies. so 100 pennies equal $1.00 right? so you divide 10,737,418.23 by 100 and you only get $107,374.18 in dollars. This number is far from millions. So which make this NOT TRUE.

September 24th, 2009 at 2:56 pm

Moe is absolutely right. I was wondering when the smartest person in the world was going to appear,but there is one exception it’s not that total on the 30th day that’s the total for day 31( 10,737,418.23)

September 24th, 2009 at 4:55 pm

This was on the movie The happening, I didn’t understand the joke the guy told before the car crashed so I had to search it up on the internet, thankyou.

October 15th, 2009 at 6:20 am

Just tossing it out there, you don’t add them all together. It states that the amount is double each day. This means on day 1 you have one penny, and on day two :::you only receive one penny, this would make 1+1=2 (doubled) therefore you don’t have three pennies after day two, you only have two. ect…

October 15th, 2009 at 6:06 pm

thx dude i needed this for my math hw

October 17th, 2009 at 12:21 am

Now someone tell me this…If you start with a penny and double it everyday for 1 year, how much will you have then?

October 26th, 2009 at 4:22 pm

this is the (retardedest )thing i have ever read

November 4th, 2009 at 8:58 pm

a penny doubled everyday for 30 days is only sixty cents on day 30 !!!!!!!!!!

day 1= .02

day 2= .02 and so-on until day 30 and he didn’t compound the totals of each day.It’s only two cents per day people.

November 5th, 2009 at 9:34 am

yo. calculate deez nutz.

November 26th, 2009 at 5:33 pm

Gotta love people who don’t understand exponential growth.

Here’s a quick, effortless way to figure this out.

1. Open Microsoft calculator.

2. Hit 1 * 2 =

3. Keep hitting = as many times as you’d like.

4. Experience exponential growth.

Also, doing this with pennies and a calendar is dumb. This question was originally asked with grains of wheat/rice placed on a chess board (over the total of 64 squares you’d have 18,446,744,073,709,551,615 grains of wheat/rice).

November 29th, 2009 at 4:57 am

Your all idiots, get a life

November 29th, 2009 at 4:59 am

Except for those of you who just looked this up for math homework. That was smart.

December 29th, 2009 at 5:37 pm

Wow, ummmn… this whole thread was unexpectedly funny.

Many are right in one way and wrong in another depending on interpretation. A simple concept of compound interest is approaching the complexity of a theological debate with multiple beliefs being related with each more adamant than the last about it’s own validity. Pretty soon this is going to have to be moved to a comparative religions thread in order for the discussion to fit the topic.

Several people have proving adequate math skills, it seems more the interpretation of the original premise that seems to be in question. As far as that goes … outside of a classroom it no longer matters what is said or meant once a thing is uttered. It only matters what a person hears or understands it to mean.

So to all of you with the adequate math skills… you are all right within the constructs of your own paradigm.

that’s my 2 bits as I couldn’t help but comment myself for some reason.

January 15th, 2010 at 6:51 am

Wording is wrong. A penny doubled for 30 days. well isn’t that just 2 pennies everyday for 30 days? or 60 cents?

February 8th, 2010 at 1:25 am

This was on an episode of walker texas ranger. and walker played by chuck norris gave the answer $5,368,709.12 so that has to be right because what Chuck Norris says goes! end of story.

February 9th, 2010 at 8:40 pm

nerds

February 16th, 2010 at 4:39 pm

thanks haha alot of your answers are different by a penny soo i took the majority

“vote” and decided to us $10,737,418.23 ! woop EXTRA CREDIT ferr mee !

February 28th, 2010 at 2:16 pm

This is a wonderful tool to help people understand the POWER of Compound Interest. You don’t add a penny every day you DOUBLE your money every day.

Same thing with investing, you INVEST and have a goal of about 15% growth every year allowing you to DOUBLE your money about EVERY 5 YEARS. Your goal is to be a millionaire before you retire as that is what you will need to have to retire and live at the same level you are at NOW!

So if you need a million or MORE at retirement, break it down in reverse. I need a million dollars at age 67 when I retire with full social security benefits (if they are still available).

So taking age 67 as our ending point:

67 1 million

62 1/2 million

57 1/4 million

52 $125,000

47 $62,500

42 $31,250

37 $15,625

32 $7812.50

27 $3906.25

22 $1953.13

That works out to a weekly average of investing $37.56 per week, starting at the of age 22.

If you make $$375.60 per week after taxes you only need to save 10% of your income to be a millionaire when you retire.

If you make $751.20 every week after taxes and save 10% you will retire with $2 million, investing $75.12 weekly.

March 9th, 2010 at 1:00 pm

You’re all wrong—–for over-analyzing this. Whether it’s $5 million or $10 million, WHO CARES. I would take either ot hte $1 million cash for that matter.

March 11th, 2010 at 5:38 pm

After you get all of the answers after you add them all up you get 8,152,416.35 what about 31 days cause some months have 31 the what you get?

April 20th, 2010 at 7:53 am

Now this is just the doubling figure. Most of us find more than 1 penny a day usually. Now while the calculation is correct that last calculation is what we’d get ON the 30th day. Now, you have to add up what you have made the entire thirty days which I believes adds up to somewhere around 42 mil. Now also add in the amount of pennies you got/found each day, that’s even more! I’m not going to take time to figure that out right now, but I will at some point.

May 8th, 2010 at 4:54 am

I use nickels and triple them every day.

May 14th, 2010 at 10:25 am

it aint none of ya bisness what da answer is and yes i know i spelled dat world wrong

May 24th, 2010 at 4:39 am

What’s it matter about equation. Change it from 30 days to 30 Steps. I challenge all the equation freaks to actually applying this, and the first one to actually get to double there 1 on every step. Can be the formula winner in my books. Just share how, I think allot of people will appreciate this.

May 30th, 2010 at 3:28 pm

If you are to get that much a day, then you would recieve $1,073,741,823 on the 30th day. Yep! 1 billion dollars…hmmm should have I taken the 1 million?

June 26th, 2010 at 5:33 pm

Clearly, original doubling thesis never mentioned whether this was an investment notion or savings notion. Are you doubling your investment every day or are you adding up the doubling every day? Some people are assuming that on second day you will have total of 5 pennies. While some are assuming that on second day you will have total of 4 pennies. If the pennies are just multiplying on another plane and then adding up together, ya, add them all up. But if this is an investment notion where you put up 1 penny and it returns 100%, then you get 1 penny plus your earnings of 1 penny thus having a total of 2 pennies. This is more of your personality and greed test than anything else. There is nothing theoretical or metaphysical about this lame argument. People with investment experience will always see a total of 2 pennies on second day.

June 29th, 2010 at 10:38 am

the equation you are looking for .01*2^30=10737418.24, I do not know what all that other mess was about, but there you are.

July 4th, 2010 at 6:10 pm

How much would them there pennies weigh? What is the metal in them worth? Is it permissible to convert the pennies into paper money for convenience sake? Do we have to report this to the IRS? If so, as earnings, a gift, investment, unexpected cash flow or imagination?

Did I miss the point of this post?

Wow! Sorry. Glad none of the rest did. I love you all.

Pee Ess

Uhhhh – - fergot whut I wuz aboot to say.

August 23rd, 2010 at 12:39 am

Guys, what if, just what if, a big group of people got together and managed this ‘penny a day’ thing in a way that it wouldn’t be too expensive for any one person, but all at the same time, at the end of the 30 days there would be a total of a million plus dollars to divide up amongst the investors. You know they all would get even more at the end because if they put all that money in the bank, they would also get the banks interest too! Now you math people out there just have a whole lotta fun with that challenge

September 9th, 2010 at 7:05 pm

all you guys are making this hard it is just teaching a good lesson and you are turning it into something complicated. I thought it was a wonderful lesson. And remember the rule if you dont have anything nice to say dont say anything at all. think…just think…would you like it if people were saying things like this to something you post on the internet to teach a lesson and help the world? i sure wouldnt. just be careful what you say and the world will become a better place! thanks!

September 9th, 2010 at 7:07 pm

ya i totally agree with izzyz. i loved this penny lesson. i just wish someone gave me that choice so i could really do it. =D

September 13th, 2010 at 3:48 am

but where is the BANK that this is happening at? Cause it means nothing if it can’t be done realistically!!!

September 25th, 2010 at 10:56 pm

Real answer if you are receiving a penny a day double for 30 days.

$10,737,418.23

If you are just doubling the number for 30 days it’s $5,368,709.12.

Most people use this in terms of, “Would you take a million $ or a penny a day double for 30 days. You have to add all the totals together. It is .23 not .24 on the ending. .24 would be if you double it again. But that isn’t the answer because you didn’t receive the first penny twice.

There’s some knowledge for you.

September 28th, 2010 at 5:40 pm

open your calculator and hit .01*2 then that(.02) times 2, then hit enter for every day in the month, 30 times=5,368,709.12 31=10,737,418.23 after a year (365 days) the total is 1.989292945639147 to the 85th or 19,892,929,456,391,470,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 that is the right answer for all three questions above, i have no idea how to say this number i just now that 19,892,929,456,391 is 19 trillion 892 billion 929 million 456 thousand 391 then you add whatever 470 with 66 zero’s behind it is

September 28th, 2010 at 5:40 pm

October 15th, 2010 at 2:19 pm

Juza,

19,892,929,456,391,470,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 is pronounced 19,892,929,456,391,470 megaseptatribazillion!!

November 16th, 2010 at 7:10 pm

Ben,

You are a perfect example of why so many countries in this world are passing the US in education. Your obviously severely short attention span didn’t allow you to read more than a few lines of this thread, and then you opened your mouth, and promptly put your foot in it.

So sad…

December 6th, 2010 at 1:21 pm

Use this in an ecomonics lesson…thanks

January 10th, 2011 at 8:16 pm

Umm, guys, It’s called exponential functions.

ever heard of it? yeahh.. Learned it in algebra 2 as a high school student..

January 27th, 2011 at 8:47 am

I was looking for the wording of this scenario to show my 7th grade students the power of exponential growth as it pertains to bacteria growth. I worded it the following way to avoid the confusion between exponential and compound that apparently many of you share with 7th graders…

“Would you rather have a magic penny that doubles in value every day for 30 days, or one million dollars handed to you in 30 days?”

Formula is 2 to the power of (day-1). In 30 days you have $5,368,709.12. Read post 28 for the correct math.

February 3rd, 2011 at 10:21 am

I totally disagree with this. One penny doubled daily for 30 days would give you only $.60 total or $.59 if it doesn’t double until the second day. I would take the $1 million in hand. Only if the total is doubled daily do you get the $5 million answer. Everyone reads this incorrectly. My dad gave me this puzzle when I was a child and I am now in my 60′s. This puzzle was given to my grandson, in a class today and he got the $5 mil answer. I had to break his heart and tell him it was wrong! Sorry folks. It is all in how the puzzle is written.

February 7th, 2011 at 4:12 pm

the question I had, is if I doulbe what I saved from the prior day and in 31 days I would have to add 10,737,418.24…how much would I have saved all together? and what is the formula to figure this out?

March 2nd, 2011 at 7:31 am

how much dollors is this????

March 9th, 2011 at 11:58 am

Whoever says that you add the 1 to 2 to 4 is incorrect. What’s happening is that you have one cent. The next day another cent is added to make 2. The next day 2 more are added to make 4 after that 4 added to make 8. You are not adding these all together. Your sum just becomes doubled to make the next sum.

March 10th, 2011 at 9:10 am

With 126 comments thus far, maybe this is already said. But, it’s all a moot point if you die on the 10th day. Take the One Million, enjoy it like there’s no tomorrow. If you can’t sustain yourself on a million dollars, you sure as hell can’t do it on 5 million.

March 11th, 2011 at 6:34 pm

Figured out the formula

.01*2 to the X power

X= number of days

watch

.01*2 to the 1st= .02

.01*2 to the 2nd= .04

.01*2 to the 3rd= .08

.01*2 to the 30th = 5,368,709.12

I am 12 years old and i figured that out!!!!!!!!!!!!!!!!!!!!

March 11th, 2011 at 6:38 pm

I messed up on the equation above.

X=number of days minus 1

March 11th, 2011 at 6:42 pm

If you want to look it where the total adds up, then you double the answer and minus .01

March 11th, 2011 at 6:47 pm

any body know what 3.75766813 Ã— 10 to the 107th power looks like?

.01*2 to the 364th=3.75766813 Ã— 10 to the 107th

364+1= 1 year

March 11th, 2011 at 7:00 pm

Dear Margaret (who wrote on Feruary 3rd comment #123),

My dad gave this puzzle to me and I got .60 cents and he told me I was wrong. The way he told me I thought that I went 1 pennies 2 pennies 3 pennies and so on. He told me that it doubled every day. Today I figured out in about 30 minutes the formula for X days.

$$= .01*2 to X-1 power

March 16th, 2011 at 9:38 pm

You have a new job. You are offered 1 million dollars for the month or one penny on the first day, and that doubles each day. The formula is (.01*2^X)-.01

Where X is the number of days.

Since the total is doubled every day at the end of 30 days the grand total would be $10,737,418.23

March 21st, 2011 at 11:47 am

That is exactly what I said

March 21st, 2011 at 11:49 am

except I simply made it so they didn’t add up together

April 2nd, 2011 at 12:42 am

I remember seeing this in school. one of my teachers showed us this on blackboard. what i want to know is how i can actually do this in real life. i would love to multiply money like that.

April 5th, 2011 at 5:00 am

A lot of people are still wrong. The original and the widely accepted notion is the investment ROI concept. In this penny doubling parable, the principal is 1 cent and ROI is 100%. It is principal plus ROI. Not another 100% created out of thin air and you add all the results up. No. The original concept was principal plus ROI. You start with penny and on second day you have a total of 2 cents; 1 penny as principal and 1 penny as ROI. And this same reasoning applies all the way down through 30 days. That is the original intent and teachings of this. The universal investment concept of principal + ROI. So second day, total is 2 cents and third day, total is 4 cents. Investment model is the example here; not multiplying pennies and then just adding all the lines up. Principal + ROI!

April 5th, 2011 at 5:09 am

Ya, and another thing. Even on a totally physical level. You are doubling an entity which is a single penny everyday. Even on this simple physical level, on second day, you will have 2 cents, not 3 cents. Physical item is doubled everyday. First day, you have a single penny, it doubles and on second day, you have 2 pennies. Why do some people insist on adding up all 30 lines of data? That was not the original concept… not 2 cents arising out of thin air to add to your first penny. Your first penny is doubling… second day you have a total of 2 cents. If you say it is 3 cents, it is not doubling, it is tripling. The concept is 100% returns on principal, not 200% and continually rising returns. It is 100% returns on your growing principal. On second day, your principal is 2 cents.

April 5th, 2011 at 6:25 am

Total is not doubled everyday. The lesson here is again original principal plus ROI of 100%. Why do some people insist on adding up all 30 lines? You are not adding up all 30 lines. Day 30 principal is what is stated on line 30, not the sum of lines 1-30!

April 9th, 2011 at 9:30 am

GOOD HEAVENS!!!!!!!!!!!!!

April 9th, 2011 at 9:33 am

I know you double each day, but do you add to the day before?

May 1st, 2011 at 12:25 pm

@vindy

Betting on horses, sports, etc.

May 3rd, 2011 at 8:59 pm

I’m retiring in 24 months with this same exponential growth concept. Except it’s $1.50 times 3 and they all do the same to give me $117,000 per month retirement income within 18 months. I’m in my thirties! The answer is $5,368,709.12. I know because I’m getting a pay check based on this plan in real life and not just in a math problem.

May 8th, 2011 at 9:21 pm

lol

May 11th, 2011 at 8:44 pm

My question would be who would want to carry all those pennies to the bank and count them out…

May 21st, 2011 at 1:38 pm

@travis: I would want to carry them….I’ll count them because at the end of the day its gonna be all worth it…

May 21st, 2011 at 1:40 pm

But just one question is all of this possible in real life?

June 23rd, 2011 at 11:32 am

Too bad no one have a clue as to how to actually duuble a penny each day for 30 days. I say this is impossible for a none billionaire person. The reason I say this is because if it was possible we would have more rich people than we do.

Just my thoughts

June 29th, 2011 at 8:35 pm

WOW , what a rough crowd!!!

I originally heard this years ago. Some one asked me “What would you rather have? A million dollars right now or I will put this penny in a jar and I will double the amount in the jar every day for 30 days and then give it to you.”

So anyway I understand the lesson, but I live in the real world and over the course of 30 days a lot can happen. If your luck is like mine is 70% of what happens isn’t gonna work out in your favor. My luck on the 26th or 27th day the Federal Reserve would discontinue the penny all together so that all I would have would be a pile of Zinc. Hummm, I wonder how much zinc is worth

So anyway, I hope you all get rich quick! My plan is slightly more complicated. I would like to have the Million dollars now please. So that I can live very comfortably for many years on $999.999.99. During these years of comfort I plan to spend all my time trying to figure out how to get that last penny to double

My final thought … If I had a penny doubled for every post in this thread, would I have enough for a cheeseburger and fries

June 29th, 2011 at 8:57 pm

OK that last post was my 1st penny

So now here is my 2 cents … If anyone has bothered to follow this thread, I would like to make an announcement. In exactly 11 days this topic will have reached it’s 5th birthday. CONGRATULATIONS

For those of you who think it is impossible. Any thing is possible!!! Perfect example: Who would ever dream it possible for so many people to either reword or argue about the wording of the same basic principle “Double a Penny” and spend 5 years doing it

Anything is possible, but take care, the “Pigs on the Wing”.

July 28th, 2011 at 10:29 am

well where can a person find pennies to go about doing this project?

August 28th, 2011 at 7:35 pm

I don’t know what is worse…the fact that there are 143 comments (144 including mine) about such a trivial topic, or the fact that I was bored enough to read every single one of them.

September 9th, 2011 at 1:47 pm

look let me tell u this

you:mom get me nothing for christmas

mom:why you have to have something

you:ok just give me a penny

mom:thats not a very good christmas

you:ok if u want to get me something just give me a penny for 30 days and double the price everyday ok

mom:ok if thats what u want

you parents will think ur not that smart they will just keep giving u money until the realize hoe much money u have so give it a try at how it might work it might not just hope your parents ARE NOT that smart

September 18th, 2011 at 7:34 pm

I just lost this bet! I now owe someone for the 30 days (almost 11 million)he did take off one day to make it a 30 day month, but I also owe 3000 sessions of sex. OMG

September 29th, 2011 at 10:06 am

Can’t believe all of the comments here.

I used to do this with my 3rd, 4th, 5th and 6th graders as a BASIC computer program in the early 1980′s! Then, when the Spreadsheets became available, it made it even easier!) Just a simple formula in one box, and then fill down function, and Eureka! Joi! The kids did this with nickels, dimes, etc. Ask the kids who attended Edgeworth Elementary School in Sewickley, PA, USA!

Social Good Doubling / Tripling effect : the Power of Three

Day 1 $0.02 0.03

Day 2 $0.04 $0.09

Day 3 $0.08 $0.27

Day 4 $0.16 $0.81

Day 5 $0.32 $2.43

Day 6 $0.64 $7.29

Day 7 $1.28 $21.87

Day 8 $2.56 $65.61

Day 9 $5.12 $196.83

Day 10 $10.24 $590.49

Day 11 $20.48 $1,771.47

Day 12 $40.96 $5,314.41

Day 13 $81.92 $15,943.23

Day 14 $163.84 $47,829.69

Day 15 $327.68 $143,489.07

Day 16 $655.36 $430,467.21

Day 17 $1,310.72 $1,291,401.63

Day 18 $2,621.44 $3,874,204.89

Day 19 $5,242.88 $11,622,614.67

Day 20 $10,485.76 $34,867,844.01

Day 21 $20,971.52 $104,603,532.03

Day 22 $41,943.04 $313,810,596.09

Day 23 $83,886.08 $941,431,788.27

Day 24 $167,772.16 $2,824,295,364.81

Day 25 $335,544.32 $8,472,886,094.43

Day 26 $671,088.64 $25,418,658,283.29

Day 27 $1,342,177.28 $76,255,974,849.87

Day 28 $2,684,354.56 $228,767,924,549.61

Day 29 $5,368,709.12 $686,303,773,648.83

Day 30 $10,737,418.24 $2,058,911,320,946.49

October 27th, 2011 at 5:50 pm

thanks this helped soo much now i get itt …!!

November 10th, 2011 at 9:00 am

According to the first post, you will only get the one penny doubled.

As posted “a penny doubled every day”

A penny. Not all pennies.

NOT the sum amount.

If interpreted like this u will only get 31 penny at the end of day 30.

If a djinn came and offer someone this for the price of one testicel. I wouldnt feel too greedy.

Othewhise, as a mathematical problem, I would say Mim Bizic had the correct solution

November 15th, 2011 at 8:05 pm

ok what if a man want to know if his sun is smart or greedy he gives him the option to choose between millon dollers or i penny and double for 30 days what does he choose??

November 21st, 2011 at 12:46 pm

Lost over $200 at a bar because I bet my friend i wasn’t true…..I lost

November 24th, 2011 at 11:32 am

Double a penny work don’t put a time on your double goals if you do 24 mo. is a good time frame.

November 26th, 2011 at 12:34 pm

So if I apply this to my business..network marketing, Day 12 let’s say that is Month 12. I would have 2048 distributors. If those 2048 distributors each had 200 volume a month, at 5% residual income I would be earning $20,480 a month.

Now back that up with a medical breakthrough product and the possibilities are endless.

November 30th, 2011 at 2:36 pm

omfg!!!!!!!!!!! all of you stfu!!!!! the guy was just trying to make a point about this because people have become too lazy to do the math on there own!!!!!!!! you may understand it one way, the next guy may understand it the next but nobody cares whether or not it is double the amount you have or giving you double the amount you received!!!!!!!

December 12th, 2011 at 3:11 pm

well, whoever said this was a bad thing go take a dump cuz this guys a genious. all hes trying to say is never take a shortcut in life. but apparently you guys dont get that.

January 5th, 2012 at 5:28 pm

If the question is ‘Which is more?’ then yes you are correct.

If the question is ‘Which should you choose?’ there is more than one answer.

For example: cash now is better than cash later. Will you really get the 5m? A guaranteed 1m vs a speculative 5?

What if on day 2 you’re given 20 days to live because you’ve been diagnosed with a disease that would cost a million dollars to cure?

January 12th, 2012 at 10:15 am

this was good for my homework but i need help again in my homework so please help ,me again here it is would you rather have 1p per day doubling each day, or £1 per week doubling each week for a year? show me yuor working out blow please ok

January 12th, 2012 at 10:17 am

please help me

February 12th, 2012 at 11:51 am

i need help with a problem, i need to consume 4900 grains of rice, i need to start with 2 grains on day 1 and double each day until i get to mid point at 2450 then work my way down ending with 2 grains on the last day.. eg. 2,4,6,8………8,6,4,2. question is how many days it take?

February 26th, 2012 at 11:35 pm

has anyone ever done the double penny for a day and made over a million dollars?

March 15th, 2012 at 11:31 am

Actually yogi your comment doesn’t make much sense but since you inquired that screw you all

March 30th, 2012 at 9:24 am

For the “adding it up” crew… This is called tripping.

B Shan: how many cookies do you have in your lunch box?

Alan: 1

B Shan: ok how many should I give you so that you have twice as many as you have now?

Alan: 1 because 1+1=2.

B Shan: very good. Now let’s say you keep that cookie and I give you twice many cookies as you have now in addition to the cookie tha you have. How many cookies will I give you? How many cookies will you have?

Alan: you will give me 2 and I will have three since I keep what I had and add what you give me.

B Shan: so if you started with one and now have three do you have double the original or tripple?

Alan: Tripple

B Shan: very good Alan. Good luck getting to find some one to continue doubling or trippling your cookies cause I cant afford it.

Semantics.

Commenters on semantics are right and he way it is worded it is .60 cents but the intent of he post was obviously closer to the penny in a jar analogy than the actual .60 cent wording. The assumptions of adding it up ad based on. It understanding “double”. If you want to earn this kind of money you have to be ome a loan shark, but your more likely to end up breaking a lot of legs before you make this kind of scratch.

If this kind of money. Oils be made in real life (assuming the 5 mil+ answer) then we coin onto he the trend beyond 30 days and lay off National debt. So that oh children could stand a chance in the future.

April 3rd, 2012 at 9:50 am

i have wondered how i can make that a reality. anyone have some ideas?????

April 13th, 2012 at 9:38 pm

I’m with the 12 year old. Way to go Mitchell!… and the others… that note it says… a “penny doubled everyday for 30 days”… and does NOT say a penny doubled plus the original investment. One penny doubled is 2!… not 3… that would be a penny double plus the original investment.

Regardless, it really doesn’t matter… it’s the MESSAGE which a young lady so eloquently put it above. If you persist in doubling money, efforts, whatever IT is… it will pay off larger than the quick band-aid approach most people’s minds to to first! Why most people, roughly 97-98% of our population, are broke. Varying definitions of broke, but none the less broke.

To Christine with the 8-5 job… you could ditch it if you do some research. Find a good network marketing company… one with integrity… and a binary comp plan… and you can double much more than a penny… and help others do the same… and many people can win from utilizing this principle of duplication… the principle of hard work and dedication. Teamwork makes the DREAM WORK! Or you can stay asleep in the American Dream like 97-98% of America. That’s why they call it the American dream… you have to be asleep for it to work! Check out what Robert Kiyosaki, Donald Trump and Warren Buffet are saying about network marketing and right now! It’s prime time… for us to take control of our lives!

This was an entertaining and educating read and thank you everyone for your part! Good evening!

Vanessa Wilkerson, Dallas

April 19th, 2012 at 9:38 am

i would have never thought this would cause so much debate, the correct answer would be decided based on how you phase the question because “The scenario was if you were given a choice to receive one million dollars in one month or a penny doubled every day for 30 days which one would you choose?”.

A penny doubled for thirty days, would mean day 1 of the 30 days is actually a penny doubled = 2 cents ($0.02)plus doubling every day for the next 29 days. Meaning the actual total is $10,737,418.24

But to take it one more step the question was “which would you choose?” not what is the total….LMAO

May 1st, 2012 at 2:03 am

I’m with the smart people who said they’d take the million dollars because you never know what might happen in 30 days.

Like:

– It turns out the doubling thing was fake, they never meant it. Take the million, and you’ve got it.

– Maybe they meant it, but they didn’t think it through, and once they see what’s going on, they skip town. Or just run out of pennies to give you.

– Or, as someone said, you drop dead waiting for the rest of the pennies.

Be smart. Take the million.

Sometimes pragmatics take precedence over math.

June 3rd, 2012 at 11:34 pm

This is just another attempt to make a misleading situation out of the ancient “a grain of rice on a square of a chess board puzzle”. On square two, two grains of rice; on square three, four grains of rice. You continue doubling it every day for all 64 squares. Once the 64th square receives all the grains due to it, the question asked is ‘How many grains of rice do you have?’. Hence the purpose is to give the complete number of grains of rice that are on the board.

In the above example, on day 30, $5,368,709.12 is that day’s result. The total of all the money from day 1 through day 30 is $10,737,418.23. If the question were only ‘How much money do you make on day 30?’, then the $5M dollar figure would be correct. But the question implies you can choose the $1M now or the TOTAL of all 30 days’ worth of doubled amounts. Take the column of numbers, paste them into an Excel (or some other) spreadsheet, total downward from the box (cell) containing the $0.01 (day 1) to the box containing the $5M figure (day 30) and your total amount of money is $10,737,418.23. It has been obvious from the start that the ‘doubled amount every successive day’ plan is the right choice, regardless of the theoretical losses or interruptions.

In case you’re curious about the grain of rice answer, the 64th square would hold 92.234 quadrillian grains of sand, but the TOTAL number of grains on the entire board would be 184.467 quintiliian.

It sort of follows the old trick question about a lilypad doubling in size every day, and in 28 days it will cover the entire lake. How many days does it take to cover half the lake? 27 days, because it DOUBLES in size EACH day.

Just because day 30 nets you only $5.3 million it doesn’t mean you get ONLY the 30th day’s worth. You get the total amount of money from ALL 30 days, or $10,737,418.23.

And the question was worded wrong: it’s not ‘the penny’ being doubled each day — it’s the previous day’s total being doubled each day.

Lovely old hypothetical, this one

July 17th, 2012 at 1:49 pm

Every time I’ve seen this question in the past it was not a trivia about investments, it was a brain teaser about receiving money. Hence, it’s all free money since it’s not an investment.

That being the case, you’d end up with day 1 + day 2 + day 3 + day 4 etc… or .01 + .02 + .04 + .08 (etc…) + the five million at the end… or close to ten million dollars.

In spite of the poorly worded question, that’s how the original brain teaser was worded and that’s the solution to it.

July 17th, 2012 at 1:51 pm

Of course it is just a hypothetical, as nobody can offer the penny deal. Even most millionaires would go bankrupt in the middle of the month (though the gift recipient would be happy LOL)

July 17th, 2012 at 1:55 pm

I remember when I was a child back in the 80′s I had a book that said the doubling pennies would add up to two million at the end of the month. So my dad and I got on our Commodore 64 to write a program to figure it out… and the program came up with the ten million number and we wrote to the publisher about it.

July 30th, 2012 at 2:27 am

is iwanto dobule the money in 30 dayes i well invest 1000

August 25th, 2012 at 7:18 pm

Here’s where the semantics really come in.

The first time I heard the whole “Penny that doubles itself for 30 days” idea was in it’s supposed original parable form: A young kid was approached by a sheep owner looking for a shepherd. The owner had to go away for a month, and was clearly a miserly creep out to shave every penny that he could. The kid, however was smarter, and offered the penny-that-doubles deal. The sheep owner, too greedy to look past the humble, low-cost offer that it seemed to be, accepted and left.

Where the parable part comes in is this: At the end of the month, the powner came back and the kid handed him the bill. Instead of paying up, the owner flew into a rage at having had his own greed and stupidity used against him and killed the kid.

I guess the moral of the story is, “Math and Stupid people don’t mix.”

October 10th, 2012 at 3:54 pm

WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

November 6th, 2012 at 4:19 pm

I am literally appalled at the stupidity here. Add them together? Start with .02 on day one? 30th power? My gosh, no wonder this world is messed up.

February 19th, 2013 at 8:20 am

so i got it… instead of doubling a penny a day for a month, double it every 18 days you’d still have the 5 mill in 540 days so you only need to make 4% of your penny compounding the investement every day which is very easy . the trick is called sports arbitrage, where you get maybe 5 sports arbitrages a day at 4% 2 sites that are great is mathbet and rebelbetting… but they do have a user fee of over 150 a month… but what the heck

January 19th, 2014 at 5:23 am

Solve either problem, or whatever problem you like.

Starting with 1 cent and adding the total to the total each day after day 1:

The sum S = 1 + 1 + 2 + 2^2 + 2^3 + 2^4 + … + 2^28

2S = 2 + 2 + 2^2 + 2^3 + … + 2^29

S – 2S = – 2^29

S = 2^29 cents = 5, 368, 709. 12 dollars

Starting with 1 cent and each day thereafter adding double the total of the previous day:

The sum S = 1 + 2 + 2^2 + 2^3 + … + 2^29

2S = 2 + 2^2 + 2^3 + … + 2^30

S – 2S = 1 – 2^30

S = 2^30 – 1 cents = 10, 737, 418. 23 dollars

Why not start with 1 cent and each day thereafter add double the total of all of the previous days?

Let S be the sum.

S = 1 + 2 + 6 + 18 + 54 + 162 + … + 30th term

S = 1 + 2 + 2(3) + 2(3^2) + 2(3^3) + … + 2(3^28)

3S = 3 + 2(3) + 2(3^2) + 2(3^3) + … + 2(3^29)

S – 3S = -2(3^29)

S = 3^29 cents = 686, 303, 773, 648. 83 dollars

February 18th, 2014 at 1:45 am

Stunning story there. What occurred after? Take care!