# The first term of a geometric sequence is 2 and the common ratio is 4. How do you find the 6th term?

Sep 27, 2016

$2048$

#### Explanation:

For a geometric sequence the $\textcolor{b l u e}{\text{nth term formula}}$ is

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}_{n} = a {r}^{n - 1}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where a represents the first term and r, the common ratio.

here a = 2 , r = 4 and n = 6

$\Rightarrow {a}_{6} = 2 \times {\left(4\right)}^{5} = 2048$