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A woman labels the squares of a very large chessboard 1 through 64. On each square k, the woman puts 2^k grains of rice. How many more grains of rice are placed on the 10th square than on the first 9 squares combined?

 Feb 22, 2021
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sum of the first 9 squares: 2^1 + 2^2 + ... + 2^9 = 2^10 - 1

 

10th square: 2^10

 

ratio: 1023/1024

 Feb 23, 2021

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