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

Let the sequence {a_n} defined by:

a_n+1 = a_n/[sqrt(0.5a_n + 1) + 1]

Prove that {a_n} converges to 0

2. Relevant equations

3. The attempt at a solution

I tried manipulating the equation but to no avail....

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# Recursive sequences convergence

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