The sum of the series $5.05 + 1.212 + 0.29088 + \dots \infty$ is

The difference between the fourth term and the first term of a Geometric Progression 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 sum of $n$ terms of a $G.P.$ is $255$,the $n^{th}$ term is $128$,and the common ratio is $2$,then the first term will be:

If $A, B, C$ are the $p^{th}, q^{th},$ and $r^{th}$ terms of a $GP$ respectively,then $A^{q-r} \cdot B^{r-p} \cdot C^{p-q} =$

Find the fractional value of $0.125125125 \dots$

If $x, y, z$ are in $G.P.$ and $a^x = b^y = c^z$,then