The next number in the pattern is 48. This pattern adds multiples of three to the existing number.
3 + (3 x 0) = 3
3 + (3 x 1) = 6
6 + (3 x 2) = 12
12 + (3 x 3) = 21
21 + (3 x 4) = 33
33 + (3 x 5) = 48
etc.
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The GCF is 3.
21-3=18 18/2=9 9*3=27 that is the pattern so after the 36 it should be 33
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
3, -6, 12, 4, 20, 13, 27, 21, 33 -9, +18, -8, +16, -7, +14, -6, +12
The next three numbers are: 87, 141, 228. Each number in the sequence after the first two is the sum of the previous two numbers. This is a variation of the Fibonacci sequence which starts with 1, 1, ... (and then continues ..., 2, 3, 5, 8, 13, ...).