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Given any number, it iis possible to find a polynomial of degree 5 that will fit the above points and the additional point. Consequently, a rule can be found that can justify any number as the "next".

The only polynomial of order 4 is

Un = (-3n4 + 40n3 - 185n2 + 336n - 176)/4 for n = 1, 2, 3, ...

Accordingly, the next number is -17

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