0
Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.
The simplest polynomial of order 5 is
Un = (4n5 - 85n4 + 655n3 - 2255n2 + 3421n - 1710)/30 where n = 1, 2, 3, ...
Accordingly, the next number is 15.
However, I suspect that the answer that you are looking for is 6.
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What number comes next 8 4 2 6 3 2 4?
1
What number comes next 1 1 2 3 5 8?
The next number is 13... you're adding the previous two numbers together to produce the next in line.
What comes next in this series 1-1-2-3-5-8-13?
Answer = 21 The next number is the previous 2 numbers added together
What number comes next 1-9-25-49?
This sequence is the squaring of the numbers 1, 3, 5, and 7. The next number is 9^2 = 81.
What number comes next in the pattern 8 4 2 1?
1/2 then 1/4 1/8 1/16 1/32
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