There are infinitely many polynomials of order 5 that will give these as the first five numbers and any one of these could be "the" rule. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. And each one of these polynomials will give a different number as the next.
So, any number that you choose can be the next number.
The simplest solution, based on a polynomial of order 4, is
U(n) = (7*n^4 - 98*n^3 + 497*n^2 - 1078*n + 840)/24.
To find the next number in the sequence -1, 8, 1, 4, 7, 0, 7, 0, we can observe the pattern in the differences between the numbers. The differences are: 9, -7, 3, 3, -7, 7, -7. The pattern suggests the next difference might continue with the established sequence, leading to 7 + (-7) = 0. Therefore, the next number is likely 0.
The pattern consists of consecutive prime numbers: 2, 3, 5, 7, 11, and 13. The next prime number after 13 is 17. Therefore, the next number in the pattern is 17.
The next number is 30+7 = 37.
The pattern is plus 7. So the next number used to be 1.
215
12
it's a number
7
1+7=8 8-7=1 1+3=4 4+3=7 7-7=0 0+7=7 7-7=0 x=0+3 the next number is 3
7 is the next number in the pattern
The next number is 30+7 = 37.
Either 7, 2 or 27?
The next number is 10. The pattern is -7, -6, -5, -4.
The pattern is plus 7. So the next number used to be 1.
It looks to me like 3 may be the next number since it goes +7, -7, +3, +3, -7, +7, -7, then maybe +3, +3 again. Anybody else see something different?
215
prime numbers - next number is 13