if you put 1 penny on a chess board and doubled it at each square how much money would you have on the 64th sq

Answer 1

The 64th square would contain 2^63 coins. (Divide that by 100 to get the amount of money.)

The total coins on the chess board is (2^64) - 1.

Sorry, I don't have a program on my computer that will calculate to that many digits.

Answer 2

2^0 + 2^1+2^2+.................. +2^62+2^63 = (2^64)-1 pennies on the board. 64th square it should be 2^63 Pennies.
The total money required is (2^64) - 1 Pennies.
(for placing in all squares it requires 18,446,744,073,709,551,615 pennies!)

But that much money is nowhere available in the world.
After filling few squares, no money will be available and so from, say, 32nd squares, all will be EMPTY!

So the correct answer is : The 64th sqare has no money, that is, empty! The theoritical value is 2^63 pennies!
( 2^63 = 9,223,372,036,854,775,808 pennies)

Answer 3

Actually no one has yet to answer his question. You've all stated what he would have on the last square, but not total. The equation would be represented by 2^x, x being the amount of squares so 2^64, but that only tells you the very last square, so using calculus the equation would be the integral from 0,64 of 2^x

Answer 4

The amount on that actual square would be:
2^63 or: 9.223372 x 10^18

The total amount on the chessboard would be:
(2^64) -1 or (1.8446744 x 10^19) -1

All answers are in pennies.

Answer 5

2^(64-1)
= 2^63

=9223372036854775808 pennies

Answer 6

just as a point of interest the games master who invented the game of chess (who's name I cannot remember) was asked by the king he invented the game for (also who's name I cannot remember). "what do you want as a reward for inventing the game for me?" the games master gave the same problem to the king but in grains of wheat not pennies, and told the king that the result is what he wanted as a reward the king had the games master beheaded when it was discovered that there was not enough grain in the kingdom to pay the fee. Dosent answer yopur question but I think its interesting.

Answer 7

on the sixty fourth sq. of the chessboard there would be precisely 2 to the potential of sixty 3 = 9,223,372,036,854,775,808 grains of rice. In finished, on the completed chessboard there would be precisely 2 to the potential of sixty 4 ? a million = 18,446,744,073,709,551,615 grains of rice. to place that in the time of attitude, only the 2d 0.5 of the Chessboard would weigh 6 situations the completed Biomass of Earth.

Answer 8

Geometric Progression:
a=1, r=2, n=64
Tn = ar^(n-1)
T64 = 1[2^(64-1)]
T64 = 2^63
T64 = 9,223,372,036,854,775,808 pennies

Answer 9

1 + 2 + 4 + 8 + ... + 2^63 = 2^64 - 1

Answer 10

(2^63) pennies on the 64th square.

£92,233,720,368,547,758.08

That would be one tall pile of pennies!