Question

Find the ${10}^{th}$ term & nth term of the G.P. $5,25,125$.

Answer 1

$5,25,125$

$\Rightarrow a=5,r=5$

$a_n=a{r}^{n-1}$

$a_n=5(5{)}^{n-1}$

nth term:

$\therefore a_n=5^n$

10th term:

$\Rightarrow a_{10}=5^{10}$