# How do you find the sum of the series 5/(n+1) from n=1 to 5?

Sep 17, 2016

The sum is $\frac{29}{4}$
Substitute n =1, n=2, n=3, n=4 and n=5 into the expression $\frac{5}{n + 1}$, and add the results.
$\frac{5}{1 + 1} + \frac{5}{2 + 1} + \frac{5}{3 + 1} + \frac{5}{4 + 1} + \frac{5}{5 + 1}$
$\frac{5}{2} + \frac{5}{3} + \frac{5}{4} + \frac{5}{5} + \frac{5}{6} = \frac{29}{4}$