Total number of grains requested by the inventor of chess:

If a chessboard is placed with square then one grain is placed on first square, two on second, and four on third. On each subsequent square, the numbers of grains are doubled.

Thus, the exponential increase on each square contains 2n−1 grains of rice.

Since, there are 64 squares on the chessboard, apply the value of 64 in the formula 2n−1 to fill the final square on the chessboard. Substitute “n” as 64.

Filling of rice on final square on chessboard= 264−1 = 263 = 9223372036854775808= 9.22 × 1018

To determine the total number of grains of rice let us use the exponential sum using the formula 2n −1

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Chapter 4, Problem 39C

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Solution Summary: The author explains that the inventor of chess requests the total number of grains of rice of 18.44times1018.

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