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# What is the sum of the infinite geometric series 1/4 + 1/8 + 1/16 + 1/32+...?

A)1/2

B)1

C)3/2

D)2

E)5/2

### 3 Answers

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- KrishnamurthyLv 72 months ago
1/4 + 1/8 + 1/16 + 1/32 + ...

sum_(n=1)^∞ 2^(-n - 1) = 1/2

Answer choice:

A) 1/2

- rotchmLv 72 months ago
Hint: a^0 + a^1 + a^2 + .... = 1/(1-a).

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