What is the sum from n=2 to infinity of 1/(3^n-2) ?

The sum from n=2 to infinity of 1/(3^n-2) is converges

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sum from n=2 to infinity of 1/(3^n-2)

n = 2 \sum \infty \frac{1}{3 ^{n} - 2}

converges

Solution steps

n = 2 \sum \infty \frac{1}{3 ^{n} - 2}

Apply Series Ratio Test:

converges

= converges

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What is the sum from n=2 to infinity of 1/(3^n-2) ?
The sum from n=2 to infinity of 1/(3^n-2) is converges