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Zielflug [23.3K]
3 years ago
12

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.

Mathematics
2 answers:
12345 [234]3 years ago
7 0

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).

Dmitrij [34]3 years ago
3 0
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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\implies {\blue {\boxed {\boxed {\purple {\sf {B)\:10}}}}}}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

4 + 3 \: ( \: 10 -  {2}^{3}  \: )

➺\: 4 + 3 \: ( \: 10 - 2 \times 2 \times 2 \: )

➺\: 4 + 3 \: ( \: 10 - 8 \: )

➺\: 4 + 3 \: ( \: 2 \: )

➺\: 4 + 6

➺\: 10

<h3><u>Note</u>:-</h3>

\sf\pink{PEMDAS\: rule.}

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

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