The question is: Show that if [itex]\sum[/itex]an from n=1 to ∞ converges absolutely, then [itex]\sum[/itex]an2 from n=1 to converges absolutely. I'm not sure which approach to take with this. I am thinking that since Ʃan converges absolutely, |an| can be either -an or an and for Ʃan2, an can be either negative or positive. But i'm not sure where to go with this. Any help is appreciated. Thank you.