# Series Statements

• Apr 22nd 2009, 06:36 PM
jarny
Series Statements
Problem solved thanks jhevon
• Apr 22nd 2009, 06:59 PM
Jhevon
Quote:

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?

Quote:

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

Thanks for the help in advance
consider $\sum_{n = 0}^\infty (-1)^n$
• Apr 22nd 2009, 07:54 PM
jarny
Okay, so they are both may?
• Apr 23rd 2009, 08:44 PM
Jhevon
Quote:

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?