# Math Help - Sequences

1. ## Sequences

Give an example of two divergent sequences X and Y such that:

A.) their sum X + Y converges
B.) their product XY converges

Note: X and Y do not need to be the same for A.) and B.)

2. Originally Posted by jkru
A.) their sum X + Y converges
$x_n = (-1)^n$ and $y_n = (-1)^{n+1}$.

B.) their product XY converges
$x_n=y_n = (-1)^n$