This GRE Math practice problem tests your understanding of sequences and identifying patterns.

Let $a_1, a_2, a_3, \ldots, a_n$ be a sequence of numbers where $a_1=-2$, $a_2=4$, and for $n \geq 3$, $a_n = \left(\dfrac{a_{n-1}}{a_{n-2}}\right)$. What is the sum of the first $99$ terms?

- $\quad -16$
- $\quad -12$
- $\quad -8$
- $\quad -4$
- $\quad 0$

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