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

The sum from n=1 to infinity of 1/(1+2+n) is diverges

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sum from n=1 to infinity of 1/(1+2+n)

n = 1 \sum \infty \frac{1}{1 + 2 + n}

diverges

Solution steps

n = 1 \sum \infty \frac{1}{1 + 2 + n}

Simplify

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

Apply Series Integral Test:

diverges

= diverges

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What is the sum from n=1 to infinity of 1/(1+2+n) ?
The sum from n=1 to infinity of 1/(1+2+n) is diverges