Find Sn of 2/n^2+4n+3 Series - Any Help is Great!

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Homework Help Overview

The discussion revolves around finding the general term Sn for the series defined by the expression 2/(n^2 + 4n + 3). Participants are exploring methods to derive this general term after initial computations of specific sums.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to express the series in partial fraction form and question whether the denominator has been correctly factorized. There are mentions of identifying cancellation between terms in the series.

Discussion Status

The conversation is ongoing, with some participants providing hints about factorization and cancellation, while others express uncertainty about the final steps to find the general term Sn.

Contextual Notes

There is an indication that the original poster has computed several specific sums but is seeking guidance on how to generalize this into a formula for Sn. The discussion hints at potential missing steps or assumptions regarding the series setup.

remaan
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Homework Statement



If the series is 2/n^2 +4n+3

Homework Equations




After factorizing the Den who to find Sn ?

The Attempt at a Solution



I found S1 and S2 and S3 ...S6 and then how to find Sn (general form) ??
 
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You want to express it in partial fraction form. Like A/(x+a)+B/(x+b). Did you factorize the denominator?
 
Oh, you I am done with all the steps, except the last thing which is finding the Sn - general form.
 
Then don't you notice that there's a term in a_(n+2) that cancels a term in a_(n). I wish you would show more of your work.
 
Ok.. Thanks Dick .
 

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