December 4th, 2011, 08:09 AM  #1 
Member Joined: Dec 2011 Posts: 75 Thanks: 0  recurrence relation fn+4
hey everyone really stuck on these two questions if anyone could help, with an explanation that would be great, as i dont understand really what the question is asking let alone the methods i would take. thanks Let Fn be the Fibonacci sequence. (a) (i) Use the Fibonacci recurrence relation to express both Fn+4 and Fn in terms of Fn+1 and Fn+2, for n = 0,1,2, . . .. (ii) Use your answer to part (a)(i) to show that Fn+4 + Fn = 3Fn+2 for n = 0,1,2, . . . . 
December 4th, 2011, 08:48 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: recurrence relation fn+4
The Fibonacci sequence is defined recursively by: Thus: Adding we find: I have moved this topic to "Applied Mathematics, Set Theory, Logics and other." 
December 4th, 2011, 09:15 AM  #3 
Member Joined: Dec 2011 Posts: 75 Thanks: 0  Re: recurrence relation fn+4
Thanks MarkFL, For your quick response and explanation, I've just joined this so wasn't too sure were to post it, again thanks for moving it to the right topic. [Now I] finally understand what i needed to do! 
December 4th, 2011, 09:22 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: recurrence relation fn+4
Glad to help, and welcome to the forum! Sometimes it isn't clear which forum is best for a topic especially to new members. 

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