Philip P. answered 07/21/14
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7, 16, 8, 27, 9, ?, 10
Every other number (shown in orange) is counting up by one from 7: 7, 8, 9, ...
The 16 is 2*8, which is the following number. The 27 is 3*9, which is the following number. So the sequence seems to be, starting with n=7:
n, 2*(n+1), n+1, 3*(n+2), n+2, 4(n+3), n+3, ...
7, 16, 8, 27, 9, 4*(7+3)=40, 10, ...
Michael B.
12/04/14