Identify the pattern of terms

Here is an exam question of the unit infinite series and series of functions.

Identify the pattern of terms and determine whether the following series is convergent

$$1-1+\frac{1}{2}-\frac{1}{2}+\frac{1}{3}-\frac{1}{3}+\frac{1}{4}-\frac{1}{4}\cdots $$

Am I supposed to find the ${n}^{th}$ term?

Are there any method of finding a simple general term for the series?

Here is an exam question of the unit infinite series and series of functions.

Identify the pattern of terms and determine whether the following series is convergent

$$1-1+\frac{1}{2}-\frac{1}{2}+\frac{1}{3}-\frac{1}{3}+\frac{1}{4}-\frac{1}{4}\cdots $$

Am I supposed to find the ${n}^{th}$ term?

Are there any method of finding a simple general term for the series?