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Any number can be the next number. It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.
The simplest polynomial solution, based on a polynomial of order 4 is
t(n) = (n^4 - 6*n^3 + 23*n^2 + 6*n + 48)/24 for n = 1, 2, 3, ...
Accordingly, t(6) = 38.
However, it is quite possible that these are based on a Fibonacci sequence defined by
t(1) = 3
t(2) = 5
and t(n+2) = t(n) + t(n+1) for n = 1, 2, 3, ...
If that is the case, then the next number is 35.
There is no way, other than reading the mind of the person who posed the question, as to which of these two, or the infinite alternatives is the correct answer.
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The next number in this series 7 9 11 13 15 is?
17
Which number comes next in this series of numbers 2-3-5-7-11-13?
17 cause it is the next prime number
What is the next number in the pattern 1 8 27 64 125?
The series is n3: 13, 23, 33 ...The next number is 216.
The next number in the series is 5 7 4 8 10 7 11?
13
What is the next number in this series 32-16-19-20-10-13-14?
7
What is the next number in this series 6 13 18?
21
The next number in the series 13 1816 21 19?
24
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 series 1 5 6 13 23?
47
The next number in the series 13 18 16 21 19 is?
24
What is next number in series 3 5 8 13 22?
39
The next number in this series 7 9 11 13 15 is?
17
Which number comes next in this series of numbers 2-3-5-7-11-13?
17 cause it is the next prime number
What is the next number in the series 7 9 13 29?
285
What is the next number in the series 2 3 12 13 52 53?
240
What is the next number in the pattern 1 8 27 64 125?
The series is n3: 13, 23, 33 ...The next number is 216.
What is the next number in the series 13 18 16 21 19?
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
