My Math Forum Recurrence Relation

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 February 20th, 2012, 01:16 PM #1 Newbie   Joined: Feb 2012 Posts: 2 Thanks: 0 Recurrence Relation Problem from "Discrete Mathematics with Graph Theory" by Goodaire and Parmenter Page 175 # 18 an = 2an?1 + 3an?2 a0= -2 a1=1 ---------------------------------- So far I have: x²-2x-3=0 (x-3)(x+1)=0 x={3,-1} an=?3^n + ?(-1)^n System of equations: ? + ? = -2 3? - ? = 1 ? =-9/4 ? = 1/4 an= (1/4)(3)^n + (-9/4)(-1)^n an= (3/4)^n + (9/4)^n But then it doesn't check out right.. Maybe I'm not checking it right or I made a fundamental mistake. I need help!! Thanks.
 February 20th, 2012, 02:44 PM #2 Newbie   Joined: Feb 2012 Posts: 2 Thanks: 0 Re: Recurrence Relation Never mind!

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