110, 20, 12, 11, 10, 6 ...
This infinitely long sequence of numbers is structured in a specific pattern. What are its next three terms?
The numbers listed above are not in base 10, also known as the decimal system.
The terms of the sequence all represent the decimal (base 10) number 6 as it is represented in number systems that are base 2, 3, 4, 5, 6, 7.... In any number system with a base greater than 6, the number 6 is expressed as 6.
Thus, the sequence continues:
110, 20, 12, 11, 10, 6, 6, 6, 6, 6, 6 ...
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This puzzle originally appeared in Spektrum der Wissenschaft and was reproduced with permission.