What is the sum from n=1 to infinity of 6/n-6/(n+1) ?

The sum from n=1 to infinity of 6/n-6/(n+1) is 6

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sum from n=1 to infinity of 6/n-6/(n+1)

n = 1 \sum \infty \frac{6}{n} - \frac{6}{n + 1}

6

Solution steps

n = 1 \sum \infty \frac{6}{n} - \frac{6}{n + 1}

Apply Telescoping Series Test:

6

= 6

4 y^{^{''}} - y = 0

y = \frac{1}{2} x^{2} + 9 x

\frac{d}{d x} ((x^{2} + 1)^{- 1})

\int t cos (2 t) d t

\int \frac{x ( x ^{2} - 1 )}{x ^{2} + 1} d x

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