Try the following GMAT Problem Solving question that tests your ability to find the sum of the terms of a sequence.
Question 43:
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?
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$\quad -16$
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$\quad -12$
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$\quad -8$
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$\quad -4$
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$\quad 0$
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