[SOLVED] Convergence of a Sequence 1. The problem statement, all variables and given/known data Consider the following "recursively defined" sequence: a1=0.3 a(n+1)=sqrt (an+1) Compute the first first five terms and prove that it converges. Then, find the limit of the sequence. Please see: Problem 3, particularly parts c and d here for the complete problem: http://rutcor.rutgers.edu/~ngoldberg/math152/ws0837.pdf [Broken] 3. The attempt at a solution I would try to show that the sequence is increasing and bounded because that shows that it converges. I am not sure, however, how to go about doing this. I think I am okay with finding the first five terms. I suppose the second term would be a2= sqrt (a1+1)=sqrt (1.3) and so on and so forth and it would get quite complicated. I am not sure how to go about the proof and finding the limit. Thank you.