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Mathematics 16 Online
OpenStudy (anonymous):

Sequences ques below

OpenStudy (anonymous):

Say I have a sequence \[(a _{n})\]

OpenStudy (anonymous):

Can I say that \[\sum_{n=1}^{\infty} a _{n}= \sum_{n=1}^{\infty}a _{2n} + \sum_{n=1}^{\infty}a _{2n-1}\]

OpenStudy (experimentx):

No

OpenStudy (experimentx):

http://en.wikipedia.org/wiki/Riemann_series_theorem

OpenStudy (experimentx):

If your series is absolutely convergent, then you can do as above.

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