Answer
$\Sigma a_n=\Sigma 1$ and $\Sigma b_n=\Sigma (-1)$
Work Step by Step
$\sum a_n=\sum^{\infty}_{n=0} 1$ and $\sum b_n=\sum^{\infty}_{n=0} (-1)$ are both divergent series,
but $\sum( a_n+b_n)=\sum^{\infty}_{n=0} (1+(-1))=\sum^{\infty}_{n=0}0=0$ is convergent.
