# Math Help - Convergent and Divergent Series

1. ## Convergent and Divergent Series

I have to prove the following

If the series An is convergent and the series Bn is divergent then (An + Bn) is divergent.

Not sure where to start

2. Originally Posted by qwerty10
I have to prove the following

If the series An is convergent and the series Bn is divergent then (An + Bn) is divergent.

Not sure where to start

Suppose the series of $A_n+B_n$ is convergent , thus as the sum/difference of convergent series is convergent, so is convergent the series of $(A_n+B_n)-A_n$ ...

Tonio