I have the following partial series - $$ \sum_{n = 0}^\infty {a_n} $$ when $$a_n=\begin{cases} \frac{1}{n} &; \quad n \ \text{is even}\\ \frac{-1}{n^2} &; \quad n \ \text{is odd}\ . \end{cases}$$ I would like to get some hints for proving
or disproving absolute or conditional convergence , Thanks!