Solve Finite Difference: Find Constant Equation

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Homework Help Overview

The discussion revolves around a problem related to finite differences, specifically seeking an equation to determine the constant associated with a given polynomial function, exemplified by y=10x^4.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of finite differences and the relationship between polynomial functions and their constants. There is an attempt to identify patterns in repeated differences and a question about deriving an equation from these observations.

Discussion Status

Some participants are sharing insights and observations about the problem, with one suggesting a potential connection to factorials. However, there is no explicit consensus on the equation, and the discussion remains open-ended with ongoing exploration of ideas.

Contextual Notes

Participants are navigating the challenge of deriving an equation without complete information or a clear starting point, indicating a need for further clarification on the problem's requirements.

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