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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?

 Dec 28, 2021
 #1
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1024 is 1 more than 512+256+128+64+32+16+8+4+2+1.


Source: https://web2.0calc.com/questions/geometric-series_38

 Dec 28, 2021
 #2
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2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512  = 1022

210  = 1024

 

there are TWO more grains on k = 10 than the rest

 Dec 28, 2021

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