Geometric sequences math

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How many grains of rice did the servant have to place on the 4th square?

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How many grains of rice did the servant have to place on the 3rd square? The Sultan replied : “This sounds like a small price to pay for your act of incredible bravery, I will ask my servants to do as you ask immediately.” Did the Sultan manage to fulfil the wise man’s request? The wise man then pointed to the chessboard and asked just for a few grains of wheat in the following manner: 1 grain of wheat for the first chess square, 2 grains of wheat for the second square, 4 grains of wheat for the third square, 8 grains of wheat for the fourth square, and and carry on doubling this number on every consequent square to fill up all 64 squares of the chessboard. he told the wise man that he could choose anything for a reward. A Sultan wanted to reward his servant for an act of extraordinary bravery.

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This is an ancient legend told across Asia.

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