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It can be any number you like. Given any number, it is always possible to find a polynomial of degree 5 that will fit the above numbers and the give sixth number. The only polynomial of order 4 is

Un =(-n4 - 6n3 + 85n2 - 174n + 144)/24 for n = 1, 2, 3, ...

This gives the next term as -18.

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11y ago
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Q: What is the next number in the sequence 2 3 6 7 1?
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