Answer
$a_n = 2 + (n-1)2$
Work Step by Step
RECALL:
The nth term of an arithmetic sequence is given by the formula:
$a_n=a_1+(n-1)d$
where
$d$ = common difference
$a_1$ = first term
$a_n$ = nth term
Notice that the terms increase by $2$.
This means that the sequence is arithmetic and that the common difference, $d$, is $2$.
The first term is $2$ so $a_1=2$.
Substitute the values of $a_1$ and $d$ in the given formula above to obtain:
$a_n=a_1+(n-1)d
\\a_n = 2 + (n-1)2$
