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Question

Find the 10th term of A.P whose sum of n terms is given by 2n2+3n. Also find the nth term.

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Solution

Sn=2n2+3n

We know that nth term of AP is given by

an=SnSn1

an=2n2+3n2(n1)23(n1)

an=4n+1

Tenth term=a10=4×10+1

a10=41

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