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Popular Calculus >

sum from n=0 to infinity of 7^{-n}

Solution

n = 0 \sum \infty 7^{- n}

Solution

\frac{7}{6}

+1

Decimal

1.16666 \dots

Solution steps

n = 0 \sum \infty 7^{- n}

Simplify

7^{- n} : \frac{1}{7 ^{n}}

= n = 0 \sum \infty \frac{1}{7 ^{n}}

Apply Series Geometric Test:

\frac{7}{6}

= \frac{7}{6}

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Frequently Asked Questions (FAQ)

What is the sum from n=0 to infinity of 7^{-n} ?
The sum from n=0 to infinity of 7^{-n} is 7/6