Question

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 23? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)

Answer #1

The number of grains in **i**th square
follows a pattern of

grains of wheat

Thus, number of grains of wheat to be placed on square 23 = = 4,194,304

Total number of grains of wheat on the board

= = =

Total weight of the grains of wheat on the board

= 1/7000*1.84467E19

= pounds

A King in ancient times agreed to reward the inventor of chess
with one grain of wheat on the first of the 64 squares of a chess
board. On the second square the King would place two grains of
wheat, on the third square, four grains of wheat, and on the
fourth square eight grains of wheat. If the amount of wheat is
doubled in this way on each of the remaining squares, what is the
total weight in tons...

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