Answer
$6561$
Work Step by Step
Recall the formula for the $n^{\text{th}}$ term of a geometric sequence:
$a_{n}=$ $a_{1}$ $\times$ $r^{n-1}$
where
$a_n= n^{\text{th}}$ term;
$n$ = term number
$r$ = common ratio
The given geometric sequence has:
$a_{1}=3$ , $n=8$ and $r=\dfrac{9}{3}=3$:
Substituting these values into the formula above gives:
$a_{8}=$ $3$ $\times$ $3^{8-1}$
$a_{8}=$ $3$ $\times$ $3^{7}$
$a_{8}=$ $6561$
The $8^{\text{th}}$ term is $6561$.
