The first and last terms of a $G.P.$ are $a$ and $l$ respectively; $r$ being its common ratio; then the number of terms in this $G.P.$ is
$\frac{{\log l - \log a}}{{\log r}}$
$1 - \frac{{\log l - \log a}}{{\log r}}$
$\frac{{\log a - \log l}}{{\log r}}$
$1 + \frac{{\log l - \log a}}{{\log r}}$
If the sum of an infinite $G.P.$ and the sum of square of its terms is $3$, then the common ratio of the first series is
The product $(32)(32)^{1/6}(32)^{1/36} ...... to\,\, \infty $ is
The difference between the fourth term and the first term of a Geometrical Progresssion is $52.$ If the sum of its first three terms is $26,$ then the sum of the first six terms of the progression is
If the third term of a $G.P.$ is $4$ then the product of its first $5$ terms is
Let ${a_1},{a_2}...,{a_{10}}$ be a $G.P.$ If $\frac{{{a_3}}}{{{a_1}}} = 25,$ then $\frac {{{a_9}}}{{{a_{ 5}}}}$ equal