Disturbing Series

Level pending

Given a sequence 0, 10, 1110, 3110, 132110, 1113122110, .... Determine the next term !


The answer is 311311222110.

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1 solution

Kay Xspre
Mar 1, 2016

The Look-and-say sequence has the characteristics that the nature of previous term define the next term. All you have to do is to put it to words

  • 0 > One 0
  • 10 (from One 0) > One 1, One 0
  • 1110 (One 1, One 0) > Three 1, One 0
  • 3110 > One 3, Two 1, One 0
  • 132110 > One 1, One 3, One 2, Two 1, One 0
  • 1113122110 > Three 1, One 3, One 1, Two 2, Two 1, One 0

Hence, the next number should be 311311222110

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