If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

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Answer: B. 6 \begin{aligned} & a+a r+a r^2+a r^3+\ldots .+a r^{63} \ & =7\left(a+a r^2+a r^4 \ldots .+a r^{62}ight) \ & \Rightarrow \frac{a\left(1-r^{64}ight)}{1-r}=\frac{7 a\left(1-r^{64}ight)}{1-r^2} \ & r=6 \end{aligned}

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

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