What is the sum from n=0 to infinity of (1/8)^n ?

The sum from n=0 to infinity of (1/8)^n is 8/7

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sum from n=0 to infinity of (1/8)^n

n = 0 \sum \infty (\frac{1}{8})^{n}

\frac{8}{7}

Decimal

1.14285 \dots

Solution steps

n = 0 \sum \infty (\frac{1}{8})^{n}

Apply Series Geometric Test:

\frac{8}{7}

= \frac{8}{7}

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What is the sum from n=0 to infinity of (1/8)^n ?
The sum from n=0 to infinity of (1/8)^n is 8/7