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Any number can come next in the sequence. Given ANY number, it is possible to find a polynomial of order 7 that will generate the above numbers and the chsen extra number. And polynomials are not the only kind of functions.

However, the polynomial of order 6 that will fit these data is

Un = (-53n6 + 1245n5 - 11525n4 + 53355n3 - 128462n2 + 150960n - 63000)/360 for n = 1, 2, 3, ...

and, accordingly, the next number in the sequence is -175.

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11y ago

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