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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 rule, based on a polynomial of order 5, is

Un = (-4n5 + 75n4 - 510n3 + 1665n2 - 2306n + 1440)/120 for n = 1, 2, 3, ...

Another possibility is a Fibonacci-like sequence with

U1 = 3, U2 = 4 and Un+2 = Un + Un+1 for n = 1, 2, 3, ...

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Related Questions

What is the next number in the series 14 -11 18 -16 13 -17 18?

To find the next number in the series, we can observe the alternating pattern between pairs of numbers. The first number is 14, and it decreases by 3 to 11, then increases by 7 to 18. Following this pattern, the next number after 18 should decrease by 2, resulting in 16. Therefore, the next number in the series is 16.


What is the pattern in the number sequence 3 6 11 18?

Adding consecutive odd numbers


How do you say 18 over 11 as a mixed number?

18 over 11 as a mixed number = 17/11


What number comes in the series next after 3 6 12 6 12 24 18?

36, possibly. The sequnce being *2, *2, -6, *2, *2, -6 etc


Simplified 11 over 18?

11/18 cannot be simplified - 11 is a prime number !


What is the rule to the pattern 2 3 6 11 18?

Oh, what a delightful pattern you've discovered! It looks like each number is increasing by adding the next odd number, starting from 1. So, 2 + 1 = 3, 3 + 3 = 6, 6 + 5 = 11, and 11 + 7 = 18. Keep exploring these patterns, my friend, and let your creativity flow!


What is the rule for this pattern 7-11-18-29?

7 + 11 = 18 11 + 18 = 29 18 + 29 = 47 Add the two previous terms together.


Please tell me if -18 is bigger than -11 on a algebra number line?

-18 is less than -11 or -18 < -11


What is the pattern for 4111825?

If you mean 4 11 18 25 then the next number is 32 because the numbers are increasing by increments of 7


What is 65 over 18 as an mixed number?

65/18 as a mixed number is 3 and 11/18


What number goes into 11 and 18?

The number is 1.


Are 11 and 18 the same number?

No.