Hi i need some help understanding the method needed to construct difference tables(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Gregory-newton formulae

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