In an old fable, a commoner who had saved the kings life

Chapter 12, Problem 87

(choose chapter or problem)

In an old fable, a commoner who had saved the kings life was told he could ask the king for any just reward. Being a shrewd man, the commoner said, A simple wish, sire. Place one grain of wheat on the first square of a chessboard, two grains on the second square, four grains on the third square, continuing until you have filled the board. This is all I seek. Compute the total number of grains needed to do this to see why the request, seemingly simple, could not be granted. (A chessboard consists of 8 * 8 = 64 squares.)

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