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\[a _{n}=\frac{ \alpha*n }{ n+1 },n \ge1, \]\[, \alpha \in \mathbb{R}\]

we would be glad to help but please post in the math group :)

No worries, but I'm gonna close this Q since it's in the wrong group.

No apologies necessary, and welcome to OpenStudy!
http://openstudy.com/study#/groups/Mathematics

Thank you very much