# Math Help - Two divergent sequences whose product converges

1. ## Two divergent sequences whose product converges

I spend what was probably way too long trying to figure this out:

"Provide two divergent sequences X and Y whose product converges."

I was also asking to find the same, but whose sum converges, which I think I got. I don't necessarily want you to tell me two sequences satisfy this, but a hint or two would be nice. Thank you!

2. Originally Posted by mremwo
"Provide two divergent sequences X and Y whose product converges.

$x_n=(-1)^n,\;y_n=(-1)^{n+1}$

Fernando Revilla

P.S. I have used the term divergent as equivalent to not convergent.