Answer
$a_{n}=10+2n$
Work Step by Step
We will use the equation for an arithmetic sequence$:$
$$a_{n}=a_{1}+(n-1)d$$
The first term is $a_{1}=12$, and the common difference between the terms is $d=2$.
Substitute $12$ for $a_{1}$, and $2$ for $d$, and simplify:
$$\begin{align*}
a_{n}&=12+(n-1)(2 )& & \\
&=12+2n-2 \\
&=10+2n \end{align*}$$
