The sum of an infinite geometric progression is $\frac{4}{3}$ and the first term is $\frac{3}{4}$. The common ratio is

Six positive numbers are in $GP$, such that their product is $1000$. If the fourth term is $1$, then the last term is

$A$ $G.P.$ consists of an even number of terms. If the sum of all the terms is $5$ times the sum of terms occupying odd places,then find its common ratio.

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

Let $a, b, c$ be positive integers such that $\frac{b}{a}$ is an integer. If $a, b, c$ are in geometric progression and the arithmetic mean of $a, b, c$ is $b+2$,then the value of $\frac{a^2+a-14}{a+1}$ is

The sum of the first three terms of a $G.P.$ is $\frac{39}{10}$ and their product is $1$. Find the terms.