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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?

 Aug 25, 2021
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1024 is 1 more than 512+256+128+64+32+16+8+4+2+1.

 

It's helpful to notice that every term is 1 more than all the previous terms combined.

 Aug 25, 2021

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