Ignoring the "9" , then this is a Fibonacci sequence.
2,2,4,6,10
The first two terms are 'seed' terms then successive terms equal the sum of the two previous terms.
2 + 2 = 4
2 + 4 = 6
4 + 6 = 10
The next term would be 6 + 10 = 16.
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10
10, 8, 6, 4, 2, 0, -2, -4
5
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,...
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.