Question

Find the next term:

$3,9,27,81,..........$

Answer 1

Clearly it is a GP with first term $a=3$ and common ratio $r=3.$
$t_n=a{r}^{n-1}$
$t_5=3(3{)}^4=243$
$t_6=3(3{)}^5=729$
$t_7=3(3{)}^6=2187$
$t_8=3(3{)}^7=6561$