Find the fractional value of $0.125125125 \dots$

If the $(p + q)^{th}$ term of a $G.P.$ is $m$ and the $(p - q)^{th}$ term is $n$,then the $p^{th}$ term will be

If $n$ geometric means are inserted between $a$ and $b$,then the $n^{th}$ geometric mean will be:

If $a, b, c$ are in geometric progression,then which of the following is true?

If the sum of the first $6$ terms is $9$ times the sum of the first $3$ terms of the same $G.P.$,then the common ratio of the series will be

Find the sum to the indicated number of terms in the geometric progression: $1, -a, a^{2}, -a^{3}, \ldots$ to $n$ terms (if $a \neq -1$).