Answer
7,12,17,22
Work Step by Step
To find the first four terms of the sequence whose general term is $a_{n}$ = $a_{n-1}$ + 5, we replace n in the formula with 2,3, and 4.
n=1, $a_{1}$ = 7
n=2, $a_{2}$ =$a_{2-1}$ + 5 = $a_{1}$ + 5
Substitute $a_{1}$ as 7
$a_{2}$ = 7+5 = 12
n=3, $a_{3}$ =$a_{3-1}$ + 5 = $a_{2}$ + 5
Substitute $a_{2}$ as 12
$a_{3}$ = 12+5 = 17
n=4,$a_{4}$ =$a_{4-1}$ + 5 = $a_{3}$ + 5
Substitute $a_{3}$ as 17
$a_{4}$ = 17+5 = 22
The first four terms are 7,12,17,22.