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Math Help - Sequence Problem

  1. #1
    Newbie
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    Jul 2014
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    United Kingdom
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    Sequence Problem

    Hi,

    Would anyone be able to solve the below sequence, as an equation where V, X and Y are the inputs and Z is the output?

    V X Y Z
    4 0 1 1
    1 0 2 2
    0 1 2 2
    1 1 2 1
    2 0 2 2
    0 2 2 2
    2 1 2 2
    1 2 2 2
    2 2 2 2
    3 0 2 2
    0 3 2 2
    1 3 2 2
    2 3 2 2
    4 0 2 2
    1 0 3 3
    0 1 3 3
    1 1 3 3
    2 0 3 6
    0 2 3 6
    2 1 3 6
    1 2 3 7

    Any help would be much appreciated!
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  2. #2
    MHF Contributor

    Joined
    Apr 2005
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    Re: Sequence Problem

    I don't know what you mean by "solve the below sequence". Do you mean "find the function f so that z= f(v, x, y)"? There are an infinite number of functions that will give any finite number of specified values. One possibility is to set it up as z= f(v, x, y)= A+ Bv+ Cx+ Dy+ Evx+ Fvy+ Gvz+ Hxy+ Ixz+ Jyz+ Kx^2+ Ly^2+ Mz^2+ Nvxy+ Ovyz+ Pxyz+ Qx^3+ Ry^3+ Sz^3+ Tvxy+ Uxyz. That has the property that it has 21 coefficients, A- U, and your data has 21 values. Put in the given values for x, y, and z to get 21 equations to solve for the coefficients.
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  3. #3
    Newbie
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    Re: Sequence Problem

    That's a fair challenge. Yeah - z=f(v,x,y) - I'll have a think about your response, thank you for such a swift one.
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