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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

What is the next number in this pattern 3 12 48 192?

768


What's the next number in the pattern 4 12 36 and 108?

The next number in the pattern is 324. Each number in the pattern is obtained by multiplying the previous number by 3.


What number comes next in this pattern 0 1 3 7?

12


Which number is next in the pattern 972 324 108 36?

3


What is the next pattern -5 -2 4 13?

The next number could be 25. +3, +6, +9, +12 etc.


What is the next number in this pattern 5871091211?

5 8 7 10 9 12 11 14 The pattern is +3, -1, +3, -1, +3, -1, +3


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

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


What is the next number in this pattern 3 4 7 8 11?

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.


What is the next number in this pattern 1 3 4 12 13 39 40?

The pattern appears to be increasing by multiplying by 3 and then adding 1. Starting with 1, the next number would be 1 x 3 + 1 = 4, then 4 x 3 + 1 = 13, and so on. Therefore, the next number in the pattern would be 40 x 3 + 1, which equals 121.


What is the next number in sequence 4 12 15 45 48?

The sequence reflects a pattern of multiplying by 3, then adding 3, to each successive value. The next value would be 144. Explanation: 4x3=12, 12+3=15, 15x3=45, 45+3=48, 48x3=144


What is the next number in the sequence 4 2 6 4 12 10?

It depends. If the pattern is -2 , *3, -2, *3 etc then 30 If the pattern is Un = (-16n5 + 275n4 -1770n3 + 5275n2 - 7124n + 3480)/30, then the next number is 122.


What is the next number in the sequence 40 42 21 24 8 12 3?

The pattern is +2 /2 +3 /3 +4 /4, and the next term would be +5, or 8.