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  4. The number of terms in a G.P. is even. The sum of all its terms is thrice as large as the sum of the odd terms. The common ratio of the G.P. is

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Q. The number of terms in a G.P. is even. The sum of all its terms is thrice as large as the sum of the odd terms. The common ratio of the G.P. is

Sequences and Series

Solution:

$\frac{a\left(r^{2 n}-1\right)}{r-1}=3 \frac{a\left(r^{2 n}-1\right)}{r^2-1} \quad ; \quad \frac{3}{r+1}=1 \Rightarrow r=2 \Rightarrow(A)$