Answer
This is not an arithmetic sequence.
Work Step by Step
Let's look at the terms to see if we can find a pattern:
$a _2 - a_1 = 2 - 0 = 2$
$a_3 - a_2 = 5 - 2 = 3$
$a_4 - a_3 = 9 - 5 = 4$
$a_5 - a_4 = 14 - 9 = 5$
This is not an arithmetic sequence because the same number is not added to the previous term to get the next term, which means there is no common difference.