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

The sum from n=1 to infinity of 5/n-5/(n+1) is 5

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

n = 1 \sum \infty \frac{5}{n} - \frac{5}{n + 1}

5

Solution steps

n = 1 \sum \infty \frac{5}{n} - \frac{5}{n + 1}

Apply Telescoping Series Test:

5

= 5

\int_{0}^{\frac{π}{2}} 6 cos^{5} (x) d x

tan^{2} (3 x) + 1

ln (1 + \frac{1}{x ^{2} + 1})

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

\frac{d}{d x} (1.1 x + 6.3 x^{3})

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