# Gregory-newton formulae

1. Aug 23, 2007

### gavztheouch

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

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