Answer
$a_{n}=5n-3$
Work Step by Step
Given Sequence: $2,7,12,17$
We can write it as
$5-3,10-3,15-3,20-3$
$ a_{1} = 2= 5-3 = 5(1)-3$
$ a_{2} = 7 = 10-3 = 5(2)-3$
$ a_{3} = 12 = 15-3 = 5(3)-3$
$ a_{4} = 17 = 20 -3 = 5(4)-3$
General term : $a_{n}=5(n)-3$