Answer
${{a}_{n}}=\left( {{n}^{2}}-1 \right)$
Work Step by Step
The given sequence $0,3,8,15,24\ldots $.
In this sequence there are integers, the sequence starts with $0$, and all the numbers are positive.
Thus, the general term of this sequence is ${{a}_{n}}=\left( {{n}^{2}}-1 \right)$.
