My Math Forum Recurrence Relation of a Sequence

 Algebra Pre-Algebra and Basic Algebra Math Forum

 August 18th, 2013, 04:27 PM #1 Newbie   Joined: Aug 2013 Posts: 3 Thanks: 0 Recurrence Relation of a Sequence The problem is at: http://sdrv.ms/13KJBit Can anyone figure it out? I've made a start, but not producing anything fruitful so far, answer is an integer from 0 to 999.
 August 18th, 2013, 05:54 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 The sequence $x_{\small0},\,x_{\small1},\,x_{\small2},\,.\,.\,.$ is defined by the recurrence relation       $x_{n\small+1}\,=\,ax_n\,+\,bx_{n\small-1}\,+\,cx_{n\small-2}\,+\,dx_{n\small-3},\,n\,\ge\,3.$ For fixed integers $^{a,\,b,\,c,\,d,}$ it turns out that regardless of the initial values $x_{\small0},\,x_{\small1},\,x_{\small2},\,x_{\smal l3},$ the sequence is eventually periodic. Find the sum of all possible periods.

 Tags recurrence, relation, sequence

### content

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Joselynn Real Analysis 2 September 14th, 2013 12:52 AM ThatPinkSock52 Applied Math 1 February 20th, 2012 02:44 PM tuzzi-i Real Analysis 1 October 6th, 2007 10:25 AM fe phi fo Real Analysis 1 December 31st, 1969 04:00 PM roguebyte Advanced Statistics 1 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top