120
160
192
240
Answer is Right!
Answer is Wrong!
The answer is $\boxed{192}$.
The sequence is a geometric sequence with a common ratio of $\frac{1}{4}$. This means that each term is $\frac{1}{4}$ of the term before it.
Starting with the first term, $5760$, we can find the missing term by dividing by $\frac{1}{4}$ four times.
$5760 \div \frac{1}{4} = 1440$
$1440 \div \frac{1}{4} = 360$
$360 \div \frac{1}{4} = 90$
$90 \div \frac{1}{4} = 192$
Therefore, the missing term is $192$.