Consider the following two series
$$\begin{array}{l} \mathrm{P}: \sum_{n=1}^{\infty} \frac{1}{n} \\ \mathrm{Q}: \sum_{n=1}^{\infty} \frac{1}{n^{2}} \end{array}$$
Choose the correct option from the following
- $P$ is convergent series; $Q$ is divergent series
- $P$ is divergent series; $Q$ is convergent series
- Both $P$ and $Q$ are convergent series
- Both $P$ and $Q$ are divergent series
