March 11th, 2015, 05:00 AM  #1 
Newbie Joined: Mar 2015 From: bedfordshire Posts: 1 Thanks: 0  recurrence relations
Hello, will someone please help me figure out how to if an+1=sqrt(2+an) Show that for all n ∈ N we have an+1  an =(an an1)/(sqrt(2+an)+sqrt(2+an1)) Last edited by skipjack; March 11th, 2015 at 05:53 AM. 
March 11th, 2015, 05:51 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,474 Thanks: 2039 
Divide $\large\text{a}_{n+1}^2  a_n^2 = \text{a}_n  \text{a}_{n1}$ by $\large\text{a}_{n+1} + a_n$.


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