A chessboard has 64 squares. George places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the t
hird square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares.
2 answers:
Answer: 512 grains on the 10th square. 1023 total grains on all 10 squares.
Step-by-step explanation:
Two ways: add the number of grains on each square
1+2+4+8+16+32+64+128+256+512 = 1023
Or set up an equation using sigma: Σ
Put 10 on top and n=1 on the bottom. Next to it, put 2^(n-1).
The number of grains on the Nth square Is 2^(N-1). There are 512 grains on the 10th square alone, and 1,023 of them on all 10 squares together.
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