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Question

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

A
10n2
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B
10n3
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C
10n4
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D
10n6
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Solution

The correct option is A 10n2
Given, Sn=5n2+3n
Sn1=5(n1)2+3(n1)=5(n22n+1)+3n3
Sn1=5n210n+5+3n3=5n27n+2
Now, nth term an=SnSn1
an=(5n2+3n)(5n27n+2)
an=10n2

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