Any number that you choose can be the next number. It is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question followed by the chosen next number. There are also non-polynomial solutions. 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. The simplest polynomial solution based on a polynomial of order 6 isU(n) = (-46*n^6 + 1104*n^5 - 10465*n^4 + 49680*n^3 -122959*n^2 + 148026*n - 64980)/180 for n = 1, 2, 3, ... Accordingly, the next term is -341.
that best completes the sequence 2 9 5 13 10 19 17 is 27.
The number which best completes the sequence below is:2 9 5 13 10 19 17?
What number best completes the sequence 1 1/2 5 10 1/2 18
27
27
29,28
27. But that continues the sequence, it does not complete it.
27
18
+ 7 - 4 + 8 - 3 + 9 - 2 ... +10 so 17 + 10 = 27
26
The sequence appears to alternate between adding and subtracting numbers. The pattern seems to be +11, -7, +5, -2, +6. Following this pattern, the next number in the sequence would be +3 from the previous number, which would be 21.