3, 5, 7, 9, ...

Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.

 

Fun:	(2.27)
Difficulty:	(3.09)
Category:	Series
Submitted By:	snaps

 

What three numbers come next in the following series?

1, 3, 5, 7, 9, 15, 17, 21, 27, __, __, __.

Answer

31, 33, 45. Each number is the decimal value for the sequence of palindromic binary numbers, starting with (and finishing with) a 1. ie. 1=1, 3=11, 5=101, 7=111, 9=1001, 15=1111, 17=10001, 21=10101, 27=11011, 31=11111, 33=100001, 45=101101.
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