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Question

If Sn, the sum of first n terms of an A.P., is given by Sn=5n2+3n, then find its nth term.

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Solution

Let an be the nth term of the A.P.

Then, an=SnSn1

an=(5n2+3n){5(n1)2+3(n1)}

.......... [Replacingnby(n1)inSntogetSn1=5(n1)2+3(n1)]

an=(5n2+3n)(5n27n+2)

an=10n2

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