# Thread: Trying to find a sequence that satisfies specific characteristics

1. ## [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?

2. ## Re: Trying to find a sequence that satisfies specific characteristics

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 $x_n=\frac{1}{n}~.$

3. ## Re: Trying to find a sequence that satisfies specific characteristics

Thanks a lot.