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Given any 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 and the next is the given number. There are also non-polynomial solutions.
The simplest polynomial rule is
Un = (n4 - 12n3 + 50n2 - 69n + 36)/6 which gives the next number as 21
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What number comes next in the series 8-11-5-4-9-1-7?
6.
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What number comes next in a series 1 5 6?
Probable answer is 11 as shown below:1 + 5 = 65 + 6 = 116 + 11 = 1711 + 17 = 28
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It's a pattern of odd numbers- so... nine is next, then eleven, and so on. 1-3-5-7-9-11....
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