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

Let a_{1}=1 and a_{n+1}= [tex]\sqrt{1+2a_{n}}[/tex]

where n is a natural number . Use the principle of mathematical induction to prove that the sequence {a_{n}} is increasing and bounded above by 3. conclude that the sequence converges and find its limit

2. The attempt at a solution

i can see that it converges to 1, and for induction i think you have to test for n=1 has to be true then n=k has to be true and n=k+1 has to be true but if it was a simple series like the summation of x from x=1 to n, i would be able to do it, i kinda lost. help please

b]

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# Homework Help: Proving by induction

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