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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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Related Questions

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 comes next 18 4 13 6 in the pattern?

The pattern alternates between two sequences: one decreasing by 1 (18, 13) and the other decreasing by 2 (4, 6). Following this pattern, the next number after 6 should be 3 (6 - 3), and the next number after 13 should be 12 (13 - 1). Thus, the next two numbers in the sequence are 12 and 3.


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

To find the next number in the pattern 3, 12, 48, 192, we can observe that each number is multiplied by 4 to get the next number. 3 x 4 = 12 12 x 4 = 48 48 x 4 = 192 Therefore, to find the next number, we multiply 192 by 4: 192 x 4 = 768 So, the next number in the pattern is 768.


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 the sequence 12-6-3?

The next is 3.


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 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.


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