What is the total?

Algebra Level 1

1 + 2 + 4 + 8 + 16 + 32 = ? \large 1+2+4+8+16+32= \, ?


The answer is 63.

Jianping Zhou by jianping zhou , 50, Australia

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1 solution

Sabhrant Sachan
Nov 22, 2016

S n = 2 0 + 2 1 + 2 2 + ⋯ + 2 n = 2 n + 1 − 1 S 5 = 2 6 − 1 = 63 S_{n} = 2^0+2^1+2^2+\cdots+2^{n} = 2^{n+1}-1 \\ S_{5}=2^{6}-1 = \boxed{63}

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Great solution! Thanks

jianping zhou - 4 years, 6 months ago

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