Implications Divergence of one subseries and convergence of one subseries on convergence or divergence of series

Question

If $\sum a_n$ is infinite series such that $\sum\limits_{a_n \geq0} a_n$ is diverging to $+\infty$ and $\sum\limits_{a_n \leq0} a_n$ convergent, can we say $\sum a_n$ and any other rearrangement of this series will diverge to $+\infty$