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?

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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?

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Let

Thanks a lot.