What is the sum from n=0 to infinity of (1/15)^n ?

The sum from n=0 to infinity of (1/15)^n is 15/14

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sum from n=0 to infinity of (1/15)^n

n = 0 \sum \infty (\frac{1}{15})^{n}

\frac{15}{14}

Solution steps

n = 0 \sum \infty (\frac{1}{15})^{n}

Apply Series Geometric Test:

\frac{15}{14}

= \frac{15}{14}

n = 1 \sum \infty \frac{7 n}{5 + 6 n}

n = 1 \sum \infty 1 + (- 1)^{n}

n = 1 \sum \infty \frac{n ^{3}}{8 ^{n}}

n = 0 \sum \infty \frac{n}{2 n ^{2} + 3}

n = 3 \sum \infty \frac{1}{n ^{100}}

What is the sum from n=0 to infinity of (1/15)^n ?
The sum from n=0 to infinity of (1/15)^n is 15/14