What is the sum from n=0 to infinity of (-7/10)^n ?

The sum from n=0 to infinity of (-7/10)^n is 10/17

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sum from n=0 to infinity of (-7/10)^n

n = 0 \sum \infty (- \frac{7}{10})^{n}

\frac{10}{17}

Solution steps

n = 0 \sum \infty (- \frac{7}{10})^{n}

Apply Series Geometric Test:

\frac{10}{17}

= \frac{10}{17}

2 y = 4 x - x^{2}, 2 y = x - 4

f (x) = x^{2} + 4 x - 3

\int (cos^{2} (θ)) d θ

2 x - 1

f (x) = 3 x^{2} - 2 x + 3

What is the sum from n=0 to infinity of (-7/10)^n ?
The sum from n=0 to infinity of (-7/10)^n is 10/17