[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 x_{n }that satisfies ' Ʃ|x_{n}|^{2 }< infinity ' and does not satisfy ' Ʃ|x_{n}|< infinity ' for 1=< n < infinity

Does anyone have any idea of what sequence would work?

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 x_{n }that satisfies ' Ʃ|x_{n}|^{2 }< infinity ' and does not satisfy ' Ʃ|x_{n}|< infinity ' for 1=< n < infinity Does anyone have any idea of what sequence would work?

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

Re: Trying to find a sequence that satisfies specific characteristics