What is the sum from n=0 to infinity of (pi/4)^n ?

The sum from n=0 to infinity of (pi/4)^n is 4/(4-pi)

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sum from n=0 to infinity of (pi/4)^n

n = 0 \sum \infty (\frac{π}{4})^{n}

\frac{4}{4 - π}

Solution steps

n = 0 \sum \infty (\frac{π}{4})^{n}

Apply Series Geometric Test:

\frac{4}{4 - π}

= \frac{4}{4 - π}

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What is the sum from n=0 to infinity of (pi/4)^n ?
The sum from n=0 to infinity of (pi/4)^n is 4/(4-pi)