Question

Find the tenth term of G.P : $5,25,125,.......$

Answer 1

Given,

G.P: $5,25,125,...\dots .$

First term, $a=5$

Common ratio, $r=\frac{25}{5}=5$

$\therefore$ The ${10}^{th}$ term $=a{r}^9$ $[\because T_r=a{r}^{n-1}]$

$=5.(5{)}^9$

$=5^{10}$.