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Math Help - Whats the solution to this model?

  1. #1
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    Whats the solution to this model?

    Xn+2 = 3Xn+1 - 27/16Xn

    X0 = 800
    X1 = 1000

    Xn = ?

    I've tried iterating it but don't see a pattern...
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  2. #2
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    Quote Originally Posted by Mitchell View Post
    Xn+2 = 3Xn+1 - 27/16Xn

    X0 = 800
    X1 = 1000

    Xn = ?

    I've tried iterating it but don't see a pattern...
    Start by assuming a solution of the form a \lambda^n.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Mitchell View Post
    Xn+2 = 3Xn+1 - 27/16Xn

    X0 = 800
    X1 = 1000

    Xn = ?

    I've tried iterating it but don't see a pattern...
    Another suggestion is put in sufficient brackets so we know what you are asking.

    CB
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  4. #4
    MHF Contributor

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    Captain Black's point is: Is this "Xn+2 = 3Xn+1 - (27/16)Xn" which is relatively simple (and what TheSecondSolution is assuming) or is it "Xn+2 = 3Xn+1 - 27/(16Xn)" which is much harder.
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