# Thread: finding the convergent value of an infinite sum

1. ## finding the convergent value of an infinite sum

I'm not sure how to evaluate this

33/4 is the right answer but how do I get there?

Using fractional decomposition I get

And that gives a telescoping sum of

where do I go from here?

2. ## Re: finding the convergent value of an infinite sum

Hi,
Consider the following:

3. ## Re: finding the convergent value of an infinite sum

I think so, everything cancels but for the 1 and the 1/2 at the beginning and the last term 1/n+2 which goes to zero as n goes to infinity. Therefore you get 11/2 times (1+1/2) which is (11/2)(3/2) = 33/4