SOLUTION: I don't understand this problem. Consider a gameboard that has 5x5=25 squares. You ou one grain of sand on the first square, two grains on the second square, 4 grains on the third

Question 766251: I don't understand this problem. Consider a gameboard that has 5x5=25 squares. You ou one grain of sand on the first square, two grains on the second square, 4 grains on the third square, continuing until you have filled the board. Compute the total number of grains needed to do this to see why the task, seemingly simple, can not be completed. The three multiple choice answers were: 1.68x10^7 grains of sand, 3.36x10^7 grains of sand, or 1.00x10^6 grains of sand?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Consider a gameboard that has 5x5=25 squares. You ou one grain of sand on the first square, two grains on the second square, 4 grains on the third square, continuing until you have filled the board. Compute the total number of grains needed to do this to see why the task, seemingly simple, can not be completed. The three multiple choice answers were: 1.68x10^7 grains of sand, 3.36x10^7 grains of sand, or 1.00x10^6 grains of sand?
-----
Sun = 2^0+2^1*2^2+...+ 2^24 = 2^0(2^25 -1)/(2-1) = 2^25-1 = 3.36x10^7
==================
Cheers,
Stan H.
RELATED QUESTIONS
I have gotten the first answer, can you check to see if its right? I can't figure out B,... (answered by Nate)

I have searched this site for a certain word problem that I am stumped on. I have seen... (answered by Earlsdon)

On a square gameboard this is divided into n rows of n squares each, k of these squares... (answered by robertb)

There is a legend that the inventor of chess chose the follwing as his reward. One grain... (answered by Alan3354)

CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest.... (answered by Edwin McCravy)

Please help. I tried to figure this problem out, but I couldnt. CLASSIC PROBLEM - A... (answered by stanbon)

Does anyone have any insight into the type of problem below? If so, can you help me? I... (answered by jim_thompson5910)

A grain of sand is placed on the first square of a chessboard, two grains on the second... (answered by MathLover1)

This is my last question, Thanks for all your help everybody. 4) CLASSIC PROBLEM - A... (answered by stanbon)