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

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

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sum from n=1 to infinity of 1/(5^n+3)

n = 1 \sum \infty \frac{1}{5 ^{n} + 3}

converges

Solution steps

n = 1 \sum \infty \frac{1}{5 ^{n} + 3}

Apply Series Ratio Test:

converges

= converges

n = 1 \sum \infty \frac{n !}{10 4 ^{n}}

n = 1 \sum \infty \frac{2}{n ( n + 4 )}

n = 1 \sum \infty (- 0.6)^{n}

n = 1 \sum \infty \frac{2}{n ^{3} + 5}

k = 6 \sum \infty \frac{1}{( k - 5 ) ^{3}}

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