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Math Help - Newton's Divided Difference

  1. #1
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    Newton's Divided Difference

    Not sure which forum to put this question, but hopefully someone can answer it...

    Here is the data i'm working with:


    I don't understand how to get the following divided difference table with the given data...can someone please explain
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  2. #2
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    Quote Originally Posted by jzellt View Post
    Not sure which forum to put this question, but hopefully someone can answer it...

    Here is the data i'm working with:


    I don't understand how to get the following divided difference table with the given data...can someone please explain
    Let's call the column containing -7, 5, 55, 188 column one.


    \frac{f(1)-f(0)}{1}=-7, notice: the divisor is 1.
    \frac{f(2)-f(1)}{2}=5 , the divisor is 2.
    \frac{f(3)-f(2)}{3}, the divisor 3.

    Let's jump to comlum tow.

    \frac{5-(-7)}{1+2}, the divisor is the sum the two divisors in the first column.

    So on an so forth. The divisors follow the Pascal Triangle.
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  3. #3
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    Nevermind
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  4. #4
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    Quote Originally Posted by jzellt View Post
    Nevermind
    Snigger!
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  5. #5
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    Snigger????
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  6. #6
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    Quote Originally Posted by jzellt View Post
    Snigger????
    LOL< Giggle \approxsnigger < <\forall n\in N<\infty
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