GMAT Problem Solving Question 42: Sequences and sums

 
Try the following GMAT Problem Solving question that tests your understanding of identifying patterns in sequences, and using that pattern to add the terms of the sequence.

Question 42:

The terms of a sequence follow the pattern: $-1$, $-2$, $3$, $4$, $-5$, $-6$, $7$, $8,$ $-9$, $-10$, $11$, $12, \ldots \ldots$. If $S$ is the sum of the first $n$ terms of this sequence, then for which of the following values of $n$ is $S=0$ ?

1. $59$
2. $75$
3. $97$

1. $\quad \textrm{II only}$
2. $\quad \textrm{I and II only}$
3. $\quad \textrm{I and III only}$
4. $\quad \textrm{II and III only}$
5. $\quad \textrm{I, II, and III}$