#### bobbym wrote:

Hi Especi;

I did come across the Able summation

To increase your general knowledge of summations take a look at summation by parts too.

I am not familiar with that, so I looked it up here.

http://www.proofwiki.org/wiki/Summation_by_Parts

I held myself from looking at their proof so that I could prove it on my own in my uncondensed language and extra steps. Here's my proof.

Statement:

If the statement I proved in this post is what you were referring to, how does it increase knowledge of series more than the process I used to prove the recurrence relationship in my previous post?

Is it because in the line:

we don't include

and therefore we don't have

at the nth term?

(When I grouped common f factors of g in the step of the proof written a second time above, for the last (nth) sum pair, only the first (positive) term in the pair exists.)

In other words, are you implying that this shows the basic idea of telescoping sums from basic Calculus II?