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Given ANY number, it is easy to find a polynomial of order 4 that will generate the above four numbers and the selected fifth.

The simplest polynomial or order 3 that will generate the above numbers is

Un = (-53n3 + 399n2 - 880n + 552)/6 for n = 1, 2, 3, ... and accordingly, the next number is -83.

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Q: What is the next number in this pattern 3 -6 12 4?
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Related questions

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What would be the next number in this series 15 12 13 10 11 8?


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The pattern seems to be +1 +3 +1 +3 (3+1 = 4, 4+3 = 7, 7+1 = 8, etc...) So next in the sequence would be 12.


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