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Tango (Posted on 2004-11-11) Difficulty: 2 of 5
No complicated set-up for this one! Quite simply, what number comes next and why?
2 4 6 9 11 15 20 ??

See The Solution Submitted by Jenny Turner    
Rating: 3.1429 (7 votes)

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Solution Solution Comment 11 of 11 |
The key to this puzzle is the problem title "Tango" which immediately  brings the phrase "two to tango" to one's mind.
Now, writing  the given  numbers  in Roman  numerals, we get the sequence:
II, IV, VI, IX, XI, XV, XX
The next number, which can be written  as Roman numerals  having a string length of 2, is 40 whose Roman numeral equivalent  is XL.
Consequently, the required number in the sequence following 20 must be 40.

  Posted by K Sengupta on 2021-12-16 07:37:56
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