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Math Help - Patterning formula help!

  1. #1
    nattie
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    Patterning formula help!

    Hello if anyone can help me with this I will be so glad. I've spent two hours straight working on it and I can't figure it out. It's due tomorrow and I am stressing!

    Okay so I need an algebraic equation for this chart.

    Term Number Term Value
    1 ---------------- 6
    2 --------------- 12
    3 --------------- 20
    4 --------------- 30
    5--------------- 42
    6 ---------------56
    7----------------72

    Thanks so much
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by nattie View Post
    Hello if anyone can help me with this I will be so glad. I've spent two hours straight working on it and I can't figure it out. It's due tomorrow and I am stressing!

    Okay so I need an algebraic equation for this chart.

    Term Number Term Value
    1 ---------------- 6
    2 --------------- 12
    3 --------------- 20
    4 --------------- 30
    5--------------- 42
    6 ---------------56
    7----------------72

    Thanks so much
    using the "algebraic method" or maybe A algebraic method, i found out about here, we realize that a quadratic will hit all the points.

    so we will assume that y = ax^2 + bx + c

    where x is the term number, and y is the term value.

    we can set up 3 simultaneous equations to solve for a,b, \mbox{ and }c using the first three points: (1,6), (2,12), \mbox{ and }(3,20)

    now continue
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