Answer
True
Work Step by Step
We are given that $a_n+b_n \leq c_n$ and the series $c_n$ converges.
This means that $a_n \leq c_n$ and $b_n \leq c_n$
Therefore, by the direct comparison test both the series $a_n$ and $b_n$ converges as well.
Thus, the given statement is true.
