Let's see who is the genius that can solve this problem...(math)?

Question

Imagine a chess board. Put a wheat grain in the first square, then two on the next. Double the amount of grains on each of the following squares. (example: 1, 2, 4, 8, 16...) How many wheat grains will you have in total when you finish filling the 36 squares whith the double amount of grains that you have in the prior square? (in total, how many grains will you have on the board?)

Jack · Accepted Answer

No genius required.  That is a summation equation related to exponential growth.  Also, there are 64 squares on a chess board.  This sounds like a homework problem.  Just be sure to get the correct number of squares.

professional student · Answer

Chess boards have 64 squares, not 36.  For a board with 64 squares there would be a total of 2^64-1 grains.

2^64 - 1 = 18,446,744,073,709,551,615

Anonymous · Answer

using geometric proggressions we solve the sum 
a(first no.)=1
common ratio(increase in no. of grains)=2
n(last no)or(no. of squares)=36
sum=a[r^n-1]/r-1
=1[2^36-1]/35
=68719476739/35=1963413621

last no=64
sum=1[2^64-1]/63
=[{1844674407*10^10}-1]/63
=2928054614*10^8



answers:
1)total no. of wheat grains in 36 squares=1963413621grains
2)total no. of weat grains in all squares=2928054614*10^8grains

Anonymous · Answer

That's pretty funny.  There are 64 squares on a chessboard.
The answer (with a 64-square chessboard) would be 
2^64 - 1
which is
18446744073709551615

need help! · Answer

36 squares: 2^36-1
in total: 2^64-1

Wren · Answer

68,719,476,735 is the total for 36 squares, not 34,359,738,367 which would be the total for 35 squares.

Anonymous · Answer

18,446,744,073,709,551,615
damn, too slow

But 36 squares would be:
34,359,738,367

Anonymous · Answer

There are 64 squares on a chess board.
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook
rook, knight, bishop, queen, king, bishop, knight, rook


It would be (2^64) - 1

Anonymous · Answer

122,138,120

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Let's see who is the genius that can solve this problem...(math)?

9 Answers