March 5, 2010

1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 ?



What are the next three numbers in the given series?

1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 _ _ _ ?

3 comments:

  1. João MarquesMarch 5, 2010 at 5:39 PM

    1
    12
    1223
    12232334
    12232334233445

    in each iteration, it repeats the last added numbers, and add the next two number sequence, so it's 445.

    (the next iteration would be
    1223233423344523344556
    )

    ReplyDelete
  2. UnknownMarch 5, 2010 at 6:24 PM

    Marques...thanks for your comment...your answer is correct

    But I was expecting a different answer

    The pattern is - the number of 1's in the binary expansion of the positive integers starting from 1.


    #Number #Binary Equivalent #No: of 1's
    1 , 1 , 1
    2 , 10 , 1
    3 , 11 , 2
    4 , 100 , 1
    5 , 101 , 2
    6 , 110 , 2
    7 , 111 , 3
    8 , 1000 , 1
    ...........
    ..........
    etc

    The next three numbers in the series are 4, 3, 4.

    ReplyDelete
  3. AnonymousMay 10, 2012 at 12:50 AM

    5,1,2

    ReplyDelete