1. ## 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

2. Originally Posted by jzellt
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.

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

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

So on an so forth. The divisors follow the Pascal Triangle.

3. Nevermind

4. Originally Posted by jzellt
Nevermind
Snigger!

5. Snigger????

6. Originally Posted by jzellt
Snigger????
LOL< Giggle $\displaystyle \approx$snigger < $\displaystyle <\forall n\in N<\infty$