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Post Closed as "too localized" by Yemon Choi, Andrés E. Caicedo, Qiaochu Yuan, Andreas Blass, Bugs Bunny

occurred Sep 25, 2012 at 20:31

removed irrelevant tags

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edited Sep 25, 2012 at 16:36

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sequences-and-series arithmetic-progression arithmetic arithmetic-geometry

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asked Sep 25, 2012 at 15:29

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sequences - recurrence relation

I have to find the expression of $(y_n)$ defined by :

$$y_{n+1}=a y_n+b z_n+c$$

where $(z_n)$ is an arithmetico-geometric sequence :

$$z_{n+1}=d z_n+e$$

and $a,b,c,d,e$ real numbers.

Thank you for your help.

sequences-and-series arithmetic-progression arithmetic arithmetic-geometry