What is the sum from n=0 to infinity of (5/8)^n ?

The sum from n=0 to infinity of (5/8)^n is 8/3

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sum from n=0 to infinity of (5/8)^n

n = 0 \sum \infty (\frac{5}{8})^{n}

\frac{8}{3}

Solution steps

n = 0 \sum \infty (\frac{5}{8})^{n}

Apply Series Geometric Test:

\frac{8}{3}

= \frac{8}{3}

n = 0 \sum \infty \frac{e ^{n}}{n ^{3}}

n = 1 \sum \infty (- 6)^{- n}

n = 1 \sum \infty \frac{1}{4 ^{n - 1}}

n = 0 \sum \infty \frac{1}{6 + n}

n = 0 \sum \infty (\frac{1}{20})^{n}

What is the sum from n=0 to infinity of (5/8)^n ?
The sum from n=0 to infinity of (5/8)^n is 8/3