# The first term of a geometric sequence is 3 and the common ratio is 2. What is the 6th term?

Mar 20, 2018

${6}^{t h} t e r m = 96$

#### Explanation:

We have a formula for that.
${n}^{t h} t e r m = a {r}^{n - 1}$
where, $a$ is the first term, $r$ is the common ratio and $n$ is the number of term.
${6}^{t h} t e r m = a {r}^{6 - 1}$
$\Rightarrow {6}^{t h} t e r m = 3 \times {2}^{6 - 1}$
$\Rightarrow {6}^{t h} t e r m = 3 \times 32$
$\Rightarrow {6}^{t h} t e r m = 96$

That's it.
Hope this helps :)