What is the sum from n=0 to infinity of 1/(101^n) ?

The sum from n=0 to infinity of 1/(101^n) is 101/100

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sum from n=0 to infinity of 1/(101^n)

n = 0 \sum \infty \frac{1}{10 1 ^{n}}

\frac{101}{100}

Solution steps

n = 0 \sum \infty \frac{1}{10 1 ^{n}}

Apply Series Geometric Test:

\frac{101}{100}

= \frac{101}{100}

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What is the sum from n=0 to infinity of 1/(101^n) ?
The sum from n=0 to infinity of 1/(101^n) is 101/100