# Trying to find a sequence that satisfies specific characteristics

• Sep 19th 2012, 02:11 PM
DrNerj
[SOLVED]Trying to find a sequence that satisfies specific characteristics
Hi everyone! I heard this is a great place to get/give help with math questions/explanations.

I was wondering if someone could help me out.

I'm trying to find a sequence xn that satisfies ' Ʃ|xn|2 < infinity ' and does not satisfy ' Ʃ|xn|< infinity ' for 1=< n < infinity

Does anyone have any idea of what sequence would work?
• Sep 19th 2012, 02:36 PM
Plato
Re: Trying to find a sequence that satisfies specific characteristics
Quote:

Originally Posted by DrNerj
Hi everyone! I heard this is a great place to get/give help with math questions/explanations.
I was wondering if someone could help me out.
I'm trying to find a sequence xn that satisfies ' Ʃ|xn|2 < infinity ' and does not satisfy ' Ʃ|xn|< infinity ' for 1=< n < infinity Does anyone have any idea of what sequence would work?

Let $x_n=\frac{1}{n}~.$
• Sep 19th 2012, 03:50 PM
DrNerj
Re: Trying to find a sequence that satisfies specific characteristics
Thanks a lot.