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

The sum from n=0 to infinity of ((-7)/8)^n is 8/15

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sum from n=0 to infinity of ((-7)/8)^n

n = 0 \sum \infty (\frac{- 7}{8})^{n}

\frac{8}{15}

Solution steps

n = 0 \sum \infty (\frac{- 7}{8})^{n}

Apply Series Geometric Test:

\frac{8}{15}

= \frac{8}{15}

k = 1 \sum \infty 1^{k}

n = 0 \sum \infty 2021

n = 1 \sum \infty (- 1)^{n} \frac{3 n}{7 n ^{2} + 1}

n = 0 \sum \infty \frac{4}{n ^{2} - 4}

n = 5 \sum \infty \frac{28}{n + 2}

What is the sum from n=0 to infinity of ((-7)/8)^n ?
The sum from n=0 to infinity of ((-7)/8)^n is 8/15