Answer
There is a common difference of $-\frac{3}{2}$ therefore the given terms form an arithmetic sequence.
Work Step by Step
The given terms can be terms of an arithmetic sequence if there is a common difference among consecutive terms.
Determine the difference between each pair of consecutive terms to obtain:
$\frac{3}{2}-3=\frac{3}{2}-\frac{6}{2}=-\frac{3}{2};
\\0-\frac{3}{2}=-\frac{3}{2};
\\-\frac{3}{2}-0=-\frac{3}{2}$
There is a common difference of $-\frac{3}{2}$ therefore the given terms form an arithmetic sequence.