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Any number that you choose can be the next number. It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question followed by the chosen next number. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.
One possible solution is to consider U(n) = (2*n^4 - 20*n^3 + 97*n^2 - 715*n + 2424)/6 for n = 1, 2, 3, ...and according to that solution, the next number is -17.

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10y ago

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-57

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14y ago
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Q: What number is next 298 209 129 58 4?
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