Answer
$\Sigma ca_{n}$ will be divergent.
Work Step by Step
$\Sigma ca_{n} = c\Sigma a_{n}$
$\Sigma a_{n}$ is convergent if and only if $\Sigma a_{n}$ is finite.
Since $\Sigma a_{n}$ is not finite, $c\Sigma a_{n}$ is also not finite.
Hence, $\Sigma ca_{n}$ will be divergent.
