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Question

Sum of the series, 7,21,37,... n terms.

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Solution

The given G.P. is 7,21,37,...
Here a=7,r=217=3
Sn=a(1rn)1r=7[1(3)n]13=7[1(3)n]13×1+31+3=7(1+3)[1(3n]13=7(1+3)2[1(3n2]=7(1+3)2[(3)n21]

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