Answer
The sequence is arithmetic.
Common difference: $d=7$.
General term: $a_{n}=7n+2$.
Work Step by Step
$16-9=23-16=30-23=37-30=44-37=7$
We see that the difference between each term and the preceding term is same and is equal to $7$. Therefore, the sequence is arithmetic with common difference $d=7$.
The general term $a_{n}$ is given by
$a_{n}=a_{1}+(n-1)d$
As $a_1=9$ and $d=7$, we have:
$a_{n}=9+(n-1)7=9+7n-7$
$a_{n}=7n+2$
