Question

Find the $n^{th}$ term of the Geometric Progression.
$100,-110,121,...$

Answer 1

Let $t_n,a,r$ be the $n^{th}$ term, first term and common ratio of given G.P.

Given: $a=100,r=\frac{-110}{100}=-1.1$

Since, $t_n=a{r}^{n-1}$

$\Rightarrow t_n=100(-1.1{)}^{n-1}$