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## Homework Statement

Determine the relation that exists between the

*n*th finite difference and the leading coefficient.

## Homework Equations

... I'm not too sure how to html it up properly, but the numbers/"n"s following the "a"s are meant to be sub-script:

f(x) = anx^n + an-1x^n-1 + ... + a2x^2 + a1x + a0

## The Attempt at a Solution

If someone could even tell me the proper direction for the line of thought here. All I can figure out thus far is that the difference is the same sign (positive or negative) of the coefficient. Any hints would be GREATLY appreciated!

Thanks!

~D

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