What is the sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n) ?

The sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n) is converges

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sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n)

n = 1 \sum \infty \frac{( ( - 3 ) ^{n - 1} )}{5 ^{n}}

converges

Solution steps

n = 1 \sum \infty \frac{( - 3 ) ^{n - 1}}{5 ^{n}}

Apply Series Ratio Test:

converges

= converges

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x \to \infty lim (x a)

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What is the sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n) ?
The sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n) is converges