Answer
$-13$
Work Step by Step
Here $a_1=\dfrac{3}{2} $ and $d=-\dfrac{1}{2}$ ; an arithmetic sequence
$a_n=\dfrac{3}{2} +(n-1)(-\dfrac{1}{2})$
Thus,
$a_{30}=\dfrac{3}{2} +(30-1)(-\dfrac{1}{2})=\dfrac{3}{2} -\dfrac{29}{2} $
or, $a_{30}=-13$