It is possible to find infinitely many polynomials of order 5 such that the first five numbers are as listed in the question and any selected number is the next. There are also non-polynomial solutions.
The simplest polynomial of order 4 is
Un = (n^4 - 2n^3 + 11n^2 - 58n + 144)/24 for n = 1, 2, 3, ...
and accordingly, the next number in the sequence is 44.
The next number is -21
21
57
Answer = 21 The next number is the previous 2 numbers added together
The next number in the sequence 3-15-6-30-21 is -207.
The next number is -21
21
43
28
If you look at this series, you can see that each number is 2/3 of the one before it. The next number then is 2/3 * 32, which equals 64/3, or 21 1/3.
21
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
21 - each number in the series increases by the series 1,2,3,4,5.... Whereby 6 and 7 are separated by 1, 7 and 9 are separated by 2, 9 and 12 are separated by 3, 12 and 16 are separated by 4, so the next in the series would be 21 (16 and 21 are separated by 5).
55
21
21
21.