What is the sum from n=0 to infinity of (-4/7)^n ?

The sum from n=0 to infinity of (-4/7)^n is 7/11

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sum from n=0 to infinity of (-4/7)^n

n = 0 \sum \infty (- \frac{4}{7})^{n}

\frac{7}{11}

Solution steps

n = 0 \sum \infty (- \frac{4}{7})^{n}

Apply Series Geometric Test:

\frac{7}{11}

= \frac{7}{11}

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What is the sum from n=0 to infinity of (-4/7)^n ?
The sum from n=0 to infinity of (-4/7)^n is 7/11