1. ## Series Statements

Problem solved thanks jhevon

2. Originally Posted by jarny
I have to fill in the blanks with either may or must and I'm having trouble with these statements. I have to explain my answer by referring to a theorem or example as well:

1. A series that converges _____ have summands that tend to zero.
think about the test for divergence, what does it say?

2. If the partial sums of an infinite series are bounded, then the series ____ converge.

Thanks for the help in advance
consider $\sum_{n = 0}^\infty (-1)^n$

3. Okay, so they are both may?

4. Originally Posted by jarny
Okay, so they are both may?
the second is a "may", the first is not. the first is "must", do you see why?