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-1,-2,+2,-4,+4,-5,+5, +0. the sequence is subtract twice, add once, subtract again, add, then subtract, then add twice.
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Each subsequent number in this sequence is 2 less than the previous. It is extremely likely that the next number in this sequence is 2.
The answer for the number that follows the sequence 4-6-3-7-9-6-10 is 12. The pattern is +2,-3,+4,+2,-3,+4,.....,+2,-3,+4,...