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It could be any number you like since it is always possible to find a polynomial of order 5 that will fit the given 5 numbers and any sixth number.

Fitting the following polynomial, of order 4, shows that the next term should be 110.

Un = (5n4 - 50n3 + 195n2 - 358 + 328)/8 for n = 1, 2, 3, ...

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Q: What would be the next number in this series 15 9 8 12 36?
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