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 $S=0$ ?

- $59$
- $75$
- $97$

- $\quad \textrm{II only}$
- $\quad \textrm{I and II only}$
- $\quad \textrm{I and III only}$
- $\quad \textrm{II and III only}$
- $\quad \textrm{I, II, and III}$

**Video Explanation**