Question

In GP 2 ,-6,18,-54........ find an

Answer 1

Answer:

The n th term of the given G.P is

$\bf\,a_n=(2)(-3)^{n-1}}$

Step-by-step explanation:

$\text{Given G.P is 2 ,-6,18,-54........}$

$\text{Here, a=2 and }$

$r=\frac{t_2}{t_1}=\frac{-6}{2}=-3$

$\text{The n th term of G.P is }$

$\boxed{a_n=ar^{n-1}}$

$\implies\bf\,a_n=(2)(-3)^{n-1}}$