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Question

Let Sn denotes the sum of first n terms of an A.P. If S2n=3 Sn, then the ratio S3n/Sn is equal to

A
4
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B
6
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C
8
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D
10
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Solution

The correct option is B 6
We know. Sn=n(n+1)2
S2n=2n(2n+1)2
Now, S2n=3Sn 2n(2n+1)2=3n(n+1)2
or, 4x+2=3n+3n=1
S3nSn=3(1)[3(1)+1]2×21(1+1)=3×42=6


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