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S12 for the series 1+2+4+8+

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asked May 11, 2018 76.7k views

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S12 for the series 1+2+4+8+

Mathematics
high-school

Howard May asked

by Howard May

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$S_(12)=1+2+4+8+\cdots+2048$

$S_(12)=2^0+2^1+\cdots+2^(11)$

$2S_(12)=2^1+2^2+\cdots+2^(12)$

$\implies S_(12)-2S_(12)=2^0-2^(12)$

-S_(12)=1-2^(12)

Yury Bayda answered May 16, 2018

by Yury Bayda

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