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: 20,919 Thanks: 2203 
Divide $\large\text{a}_{n+1}^2  a_n^2 = \text{a}_n  \text{a}_{n1}$ by $\large\text{a}_{n+1} + a_n$.


Tags 
recurrence, relations, sequences 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Recurrence Relations & Induction  Jet1045  Number Theory  6  April 3rd, 2013 11:41 AM 
More Recurrence Relations  roguebyte  Applied Math  1  April 24th, 2012 12:49 AM 
Recurrence Relations  eulerrules1  Computer Science  1  November 10th, 2011 03:38 AM 
recurrence relations  emosms  Applied Math  1  April 22nd, 2011 03:52 AM 
Recurrence relations  cknapp  Applied Math  0  December 12th, 2007 10:28 AM 