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If the sum of the n terms of a G.P. is (...

If the sum of the n terms of a G.P. is `(3^(n)-1)`, then find the sum of the series whose terms are reciprocal of the given G.P..

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To solve the problem, we need to find the sum of the series whose terms are the reciprocals of the terms of a given geometric progression (G.P.) where the sum of the first n terms is given as \( S_n = 3^n - 1 \). ### Step 1: Find the nth term of the G.P. The nth term \( T_n \) of a G.P. can be found using the formula: \[ T_n = S_n - S_{n-1} \] ...
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