Question

Find the common ratio in the following G.P. $-5,1$, $\frac{-1}{5}$, ............

Answer 1

We know that the common ratio of a geometric progression is $r=\frac{T_2}{T_1}$ where $T_1$ is the first term and $T_2$ is the second term of G.P.

It is given that the first term of G.P is $T_1=-5$ and the second term is $T_2=1$, therefore,

$r=\frac{T_2}{T_1}=\frac{1}{-5}=-\frac{1}{5}$

Hence, the common ratio is $-\frac{1}{5}$.