1. The problem statement, all variables and given/known data The problems states let S1 = 2 and S(n+1) = (square root(2Sn+1)) show that Sn is convergent. 2. Relevant equations 3. The attempt at a solution I am not really sure how to go about this proof. Sometimes it is easier to prove something is cauchy than to show it is convergent, but cauchy sequences are a very new topic for me so I need some guidance. If I do need to show its cauchy just simply because that is much easier than showing regular convergence what would the proof look like? My RA text book is awful and gives no real examples.