What is the sum from n=0 to infinity of ((-1)/5)^n ?

The sum from n=0 to infinity of ((-1)/5)^n is 5/6

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sum from n=0 to infinity of ((-1)/5)^n

n = 0 \sum \infty (\frac{- 1}{5})^{n}

\frac{5}{6}

Solution steps

n = 0 \sum \infty (\frac{- 1}{5})^{n}

Apply Series Geometric Test:

\frac{5}{6}

= \frac{5}{6}

\frac{\partial}{\partial x} (5 e^{6 x})

\int_{0}^{7} (7 - x)^{2} d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{2}{3}

\frac{d}{d x} (\frac{ln ( x )}{x ^{2}})

\frac{\partial}{\partial x} (\frac{( 2 x + y )}{x + 2 y})

What is the sum from n=0 to infinity of ((-1)/5)^n ?
The sum from n=0 to infinity of ((-1)/5)^n is 5/6