(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A sequence is defined recursively by the equations A1 = 1, An+1 = 1/3(An + 4). Show that {An} is increasing and An < 2 for all n. Deduce that {An} is convergent and find its limit.

2. Relevant equations

3. The attempt at a solution

i've put what i've done in this image.

http://img297.imageshack.us/img297/8858/62530295kc7.png [Broken]

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# Homework Help: Proving convergence of recursive sequence

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