The difference between the successive numbers is 4. so the next three numbers could be 4, 0 and -4.
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12, 13, 16 Add three, then add 1, then add three, then add 1, and so on so forth
12, 10 and 15 the are alternatively increased by 2 and 3
11, -10, 9
-3 0 3 then 6 9 12 15 18 21 and so on ...
11, 12, and 13