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Finding a closed form of the following

  1. Feb 1, 2012 #1
    1. The problem statement, all variables and given/known data

    Create a closed form for:
    ƒn = 14ƒn − 1 − 32ƒn − 2 + 24ƒn − 3

    2. Relevant equations

    Initial conditions:
    ƒ(0) = 2
    ƒ(1) = 5
    ƒ(2) = 11

    3. The attempt at a solution

    Because it's 3rd order, it has me confused as how to start it. I was thinking something along the lines of C1n, C2n-1 like you would for say, the Fibonacci Sequence, but I'm not entirely sure. What are the first few steps in solving this and the method involved?
     
  2. jcsd
  3. Feb 1, 2012 #2

    jbunniii

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    What techniques do you have available? Do you know about generating functions?
     
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