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The sequence doubles for the first one, then adds two for the next number, then subtracts one for the third, then repeats. So the next number is 15.
15.

It's a three step operation : x 2, + 2, -1,

The step after 16 is -1 which gives 15.

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Q: What number completes the sequence 1 2 4 3 6 8 7 14 16?
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