Question

If the sum of first n term of an ap is given by Sn=3xsquare . find the nth term of the ap

Answer 1

Hi,

Given sum of n terms of AP

Sn = 3x²

nth term of AP = an

an = Sn - Sn-1

= 3x² - 3 ( x - 1 )²

= 3x² - 3 [ x² - 2x + 1 ]

= 3x² - 3x² + 6x - 3

= 6x - 3

Therefore ,

nth term of AP = an = 6x - 3

I hope this helps you.

:)