#### Answer

$4, 7, 10, 13$, and $16$.

#### Work Step by Step

Substitute the values of $1, 2, 3, 4, 5$ into the equation and solve to find the first five terms.
$a_1$ =$3(1) + 1 = 4$
$a_2$ =$3(2) + 1 = 7$
$a_3$ =$3(3) + 1 = 10$
$a_4$ =$3(4) + 1 = 13$
$a_5$ =$3(5) + 1 = 16$
Thus, the first five terms are $4, 7, 10, 13$, and $16$.