Finite Difference

Meh

Hello there...I'm currently stuck with a problem regarding finite differences. The question asks for me to come up with an equation to find the constant of the finite difference. An example would be...Let's take the equation y=10x^4 and the constant is 240. Any hints as to where to start or anyone feeling generous enough to just give me the equation?

0rthodontist

well, I don't have any proof of this in hand but you could notice that
10 * 4 * 3 * 2 * 1 = 240

HallsofIvy

I think what you are doing is finding repeated differences:

x f(x) [itex]\Delta x[/itex] [itex]\Delta^2 x[/itex]
1 10 150
2 160 640
3 810 1750 1940
4 2560 3690
5 6250

Meh

Thank Orthodontist and HallsofIvy, I think Ortho is on the right track...Still having a problem with coming up with an equation.

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Meh	Finite Difference Tweet Hello there...I'm currently stuck with a problem regarding finite differences. The question asks for me to come up with an equation to find the constant of the finite difference. An example would be...Let's take the equation y=10x^4 and the constant is 240. Any hints as to where to start or anyone feeling generous enough to just give me the equation?

0rthodontist Recognitions: Science Advisor	well, I don't have any proof of this in hand but you could notice that 10 * 4 * 3 * 2 * 1 = 240

HallsofIvy Recognitions: Gold Member Science Advisor Staff Emeritus	I think what you are doing is finding repeated differences: x f(x) [itex]\Delta x[/itex] [itex]\Delta^2 x[/itex] 1 10 150 2 160 640 3 810 1750 1940 4 2560 3690 5 6250

Meh	Finite Difference Thank Orthodontist and HallsofIvy, I think Ortho is on the right track...Still having a problem with coming up with an equation.