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Question

The nth term of an A.P is p2 and the sum of the first n terms is s2. The first term is


A

p2n+2s2n

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B

p2n+2s2n2

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C

ps2-p2sn

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D

2s2-p2nn

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Solution

The correct option is D

2s2-p2nn


Find the given term for the arithmetic progression

It is given that,

The nth term of an A.P is p2

The sum of the first n terms is s2

We know the sum of the first n terms is n2Firstterm+Lastterm

s2=n2a+p22s2=na+np2na=2s2-np2a=2s2-np2n

Hence, the correct option is D.


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