- #1
seto6
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Homework Statement
Let a1=1 and an+1= [tex]\sqrt{1+2a_{n}}[/tex]
where n is a natural number . Use the principle of mathematical induction to prove that the sequence {an} 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
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