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The next number in this list would be 48.
The reason this is the case is because the pattern is double to get the next number, then add 4 to get the next, then repeat.
So 3 to 6 is a double, +4 gets you to 10. Double 10 to get 20, add 4 to get to 24. Double 24 to get 48, and then to continue you'd get 52, then 104, 108, 216 and so on
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