1.

If sun of first n terms of an A.P. is 2n2 + 7n, write its nth term

Answer»

Given,

Sn = 2n2 + 7n

We know that,

an = Sn − Sn-1

∴ an = 2n2 + 7n − {2(n − 1)2 + 7(n − 1)}

= 2n2 + 7n − {2(n2 − 2n + 1) + 7n − 7}

= 2n2 + 7n − {2n2 − 4n + 2 + 7n − 7}

= 4n + 5



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