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Gregory-newton formulae

  1. Aug 23, 2007 #1
    Hi i need some help understanding the method needed to construct difference tables
    so far this is what ive got

    table

    X -2 -1 0 1 2 3
    F(x) -105 -45 -25 -27 -9 95

    this is my data the x values are -2,-1,-0,1,2,3
    and the f(x) values correspond to the values above

    Here is the difference table from the answer


    -2........-105
    ......................60
    -1........-45..............-40
    ......................20..............18
    0..........-25..............-22...........24
    .....................-2...............42
    1..........-27..............20............24
    .....................18..............66
    2...........-9...............86
    ....................104
    3...........95

    What i would like to know is how it is contructed obviously the x values are in the first colum the f(x) in the next then the difference between the F(x) in the following colums down to the end. What i dont understand is the negative terms for example the difference between 60 and 20 is -40?

    Cheers
    Gav
     
  2. jcsd
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