If s_{n}, the sum of first n terms of an AP is given by s_{n}= (3n^{2}-4n), then find its nth term.

Gursheen Kaur , Meritnation Expert added an answer, on 24/1/13

Let the sum of first * n * terms of the A.P.=S * _{ n } *

Given: S * _{ n } * = 3

Now,

Replacing * n * by ( * n * –1) in (i), we get,

S * _{ n } *

* n * ^{ th } term of the A.P. * a _{ n } * = S

∴ * a _{ n } * = (3

⇒ * a _{ n } * = 3 [

⇒ * a _{ n } * = 3 (

⇒ * a _{ n } * = 3(2

⇒ * a _{ n } * = 6

⇒ * a _{ n } * = 6

Thus, **the** ** ** * n *

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