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## Homework Statement

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.

## Homework Equations

## 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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