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

Question

2156 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-17T03:07:55

The sum is $29/4$

Substitute n =1, n=2, n=3, n=4 and n=5 into the expression $5/(n+1)$ , and add the results.

$5/(1+1) +5/(2+1)+5/(3+1)+5/(4+1)+5/(5+1)$

$5/2+5/3+5/4+5/5+5/6=29/4$

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