Answer
$a_5=0$
$a_n = 0 $
Work Step by Step
RECALL:
The $n^{th}$ term $a_n$ of a geometric sequence is given by the formula:
$a_n=a_1 \cdot r^{n-1}$
where
$a_1$ = first term
$r$ = common ratio
The given geometric sequence has:
$a_1=0$
$r=\frac{1}{2}$
Thus, the $n^{th}$ term of the sequence is given by the formula:
$a_n = 0 \cdot (\frac{1}{2})^{n-1}$
The 5th term can be found by substituting $5$ for $n$:
$a_5=0 \cdot (\frac{1}{2})^{5-1}
\\a_5=0 \cdot (\frac{1}{2})^4
\\a_5 = 0$