Question

For the following geometric progression find the $n^{th}$ term $2,6,18,54,.......$

Answer 1

Given GP is; $2,6,18,54,....$

$⟹2,2.\left(3\right),2.(3{)}^2,2.(3{)}^3,.....$

Therefore, first term $a=2$ and common ratio $r=3$

$nth$ term = $a{r}^{n-1}$

$⟹2.(3{)}^{n-1}$