Question

Determine if the following statements are true or false

If Σ|an + bn| converges, then Σ|an| converges and Σ|bn|converges.

If the terms, a_n, of a series approach zero as n approaches infinity, then the series Σa_n converges.

Answer 1

seems unlikely
make \(a_n=1\) and \(b_n=-1\)