Re: Find the sum of a series

Let's look at partial sums: . We have

In general, the pattern appears to be . You can show inductively that this is the case.

So, .

Re: Find the sum of a series

Quote:

Originally Posted by

**Memorystack** Hello there,

I'm a litttle bit stuck on a math question here

I need to find the Sum of the serie 1/((4*i^2)-1)

Attachment 29527 *made a mistake in the picture the i element is suppose to be a n sorry

I can't seem to understand how to even start

thank you guys

Notice that

Split it up into partial fractions and you should find that this is a telescopic series.