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

The sum from n=0 to infinity of 1/(pi^n) is pi/(pi-1)

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

n = 0 \sum \infty \frac{1}{π ^{n}}

\frac{π}{π - 1}

Decimal

1.46694 \dots

Solution steps

n = 0 \sum \infty \frac{1}{π ^{n}}

Apply Series Geometric Test:

\frac{π}{π - 1}

= \frac{π}{π - 1}

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