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

The sum from n=0 to infinity of 6^{-n} is 6/5

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sum from n=0 to infinity of 6^{-n}

n = 0 \sum \infty 6^{- n}

\frac{6}{5}

Decimal

1.2

Solution steps

n = 0 \sum \infty 6^{- n}

Simplify

6^{- n} : \frac{1}{6 ^{n}}

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

Apply Series Geometric Test:

\frac{6}{5}

= \frac{6}{5}

What is the sum from n=0 to infinity of 6^{-n} ?
The sum from n=0 to infinity of 6^{-n} is 6/5