I have some issues with this problem.

Let (the sum of a_{n}from n=1 to infinity) and (the sum of b_{n}from n=1 to infinity) be two convergent series. If a_{n}(less than or equal to) b_{n}for all n in Natural Number, and a_{m}< b_{m}for some m in Natural Number, show that (the sum of a_{n}from n=1 to infinity) < (the sum of b_{n}from n=1 to infinity).

Thanks.