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It is possible for any number to be the next number since it is always possible (and quite easy) to find a polynomial of order 5 that will fit the above numbers and the selected extra one. And that is without considering non-polynomial functions!

The only polynomial of order 4, though, is

Un = (103n4 - 1242n3 + 5201n2 - 8670n + 4680)/24 for n = 1, 2, 3, ... and occording to that, the next number in the sequence is 213.

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11y ago
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Q: What is the next number in this sequence 3 -6 12 4 20?
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