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

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

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

n = 1 \sum \infty (\frac{7}{8})^{n}

7

Solution steps

n = 1 \sum \infty (\frac{7}{8})^{n}

n = k \sum \infty (a_{n}) = n = 0 \sum \infty (a_{n}) - a_{0} - a_{1} - \dots a_{k - 1}

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

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

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

Simplify

= 7

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