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Math Help - number triangle

  1. #1
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    Exclamation number triangle

    My teacher wants me to find the next three rows on this number triangle, but i can't find a pattern
    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1
    3 1 2 2 1 1
    PLEASE help me!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by chicken feet 111 View Post
    My teacher wants me to find the next three rows on this number triangle, but i can't find a pattern
    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1
    3 1 2 2 1 1
    PLEASE help me!
    These are descriptive strings, each row describes the one above.

    The last row tells us that the previous row was three 1's , followed by
    two 2's, followed dy one 1.

    So the next row is (1 3) (1 1) (2 2) (2 1) = 1 3 1 1 2 2 2 1
    that is it tells us that the last row consisted of one 3, one 1, two 2's
    followed by two 1's.

    Please do the next two yourself.

    RonL
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