# What is a collapsing infinite series?

##### 1 Answer

Oct 17, 2014

Here is an example of a collapsing (telescoping) series

As you can see above, terms are shifted with some overlapping terms, which reminds us of a telescope. In order to find the sum, we will its partial sum

by cancelling ("collapsing") the overlapping terms,

Hence, the sume of the infinite series can be found by

I hope that this was helpful.