How do you find the sum of the geometric series $8+4+2+1+…$ ?

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How do you find the sum of the geometric series $8+4+2+1+…$ ?

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Answer 1 · 2014-08-28T00:13:39

The sum of a convergent geometric series $sum_{n=0}^{infty}ar^n$ is $frac{a}{1-r}$ . Since $a=8$ and $r=1/2$ in the posted geometric series, the sum is $frac{8}{1-frac{1}{2}}=16$ .

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How do you find the sum of the geometric series $8+4+2+1+…$ ?

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How do you find the sum of the geometric series 8+4+2+1+…8+4+2+1+…?

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How do you find the sum of the geometric series $8+4+2+1+…$ ?