What is the sum from n=0 to infinity of (1/13)^n ?

The sum from n=0 to infinity of (1/13)^n is 13/12

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sum from n=0 to infinity of (1/13)^n

n = 0 \sum \infty (\frac{1}{13})^{n}

\frac{13}{12}

Decimal

1.08333 \dots

Solution steps

n = 0 \sum \infty (\frac{1}{13})^{n}

Apply Series Geometric Test:

\frac{13}{12}

= \frac{13}{12}

What is the sum from n=0 to infinity of (1/13)^n ?
The sum from n=0 to infinity of (1/13)^n is 13/12