Date Rewarded: October 2nd, 2008.

A Chomby was walking down a path one day when Jhudora appeared in front of it. "Solve this puzzle, and you may pass," she said.

Suppose a

_{1}is the first digit (after the decimal point) of Pi, a

_{2}is the second digit, and so on...

What would the following formula equal:

(a

_{1}- a_{2}) * (a_{2}- a_{3}) * (a_{3}- a_{4}) * ... * (a_{99}- a_{100})**What is the answer?**

Prize

__Flatfruit Table____Click to show/hide hints__

The numerical value of PI truncated to 100 decimal places [1] is:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

We notice that a

_{24}= a

_{25}= 3. Therefore the formula equal to:

(a

_{1}- a_{2}) * (a_{2}- a_{3}) * ... * (a_{23}- a_{24}) * 0 * (a_{25}- a_{26}) * ... * (a_{99}- a_{100}) = 0There are several other pairs of consecutive digits that are the same. The answer is 0.

__Results__: 6249 people guessed the correct answer earning themselves

**321 NP**each.

References:

[1] Decimal expansion of PI

## 13 comments:

It took me a bit to see the easy way, but I got it. I actually figured this one out before checking here. ^_^

Yeah, I figured it out before coming here. I went through like the first 50 digits then was like, "Wait, the zero!" Haha.

Someone mail me a hint. I am confused...

moonbeamer@hotmail.com

THANKIES

For the record, the 59th and 60st digit are 4, not 8. Doesn't change a thing though.

What is the answer?

luanna, the 59th and 60th digit are 4 and 4. 4*4=? Then, take the next digit, 5. ?*5=?, and then ?*9=?.

Sorry for the question marks, but they would give away the answer. Really, it is very simple. Just do the math.

So what should I do from there?

ipanda are you taking the number after subtracting and then multiplying? I don't see any subtraction in the clue that you are giving. Could cause a bit of confusion

the clue lennysolver gave was pretty obvious, a^59-a^60 = 0

so its (a^58-a^59)*0*(a^59-a^60)and blah blah blah, if you don't get it alr. then gg lol

If you still don't know the answer, email me.

Xiaohangd@yahoo.ca

Wow, if I get this one right, it'll be my first one ever!

Ah, I get it! Took me a while, but I understand it now! =D

i dont get it....

I won (a meagre) 231NP..

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