Answer
$a_{n}=5n-7$
Work Step by Step
We are given:
$-2, 3, 8, 13$, ...
We see that the terms in the sequence go up by 5. Since the first term is $-2$, we must start by subtracting $7$:
$a_1=5(1)-7$
$a_2=5(2)-7$
$a_3=5(3)-7$
$a_4=5(4)-7$
...
$a_{n}=5n-7$
Or:
$a_{n}=-2+5(n-1)$
