Question 1166230
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You can create a formula that will provide any number of additional elements to any sequence of numbers.  Any sequence of *[tex \Large n] real numbers uniquely defines a polynomial function of degree *[tex \Large n\,-\,1] after creating a one-to-one correspondence with the elements of the sequence and the first *[tex \Large n] either positive or non-negative integers.


I'm not saying or implying that it is always an easy task.  In the first case you would need to solve a 15 by 15 system of linear equations to get the coefficients of a 14th degree polynomial function.  The other one is worse.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">


I > Ø
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