Answer
$a_n = a_{n - 1} + 17$, where $a_1 = 5$
Work Step by Step
In a recursive formula, we need to give the initial condition, $a_1$, which is the first item in the sequence:
$a_1 = 5$
To find the recursive formula of the sequence, we must first find the pattern:
$22 - 5 = 17$
$39 - 22 = 17$
$56 - 39 = 17$
In this exercise, a term $a_n$ is found by adding $17$ to the previous term, $a_{n - 1}$:
$a_n = a_{n - 1} + 17$
