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Happy Holidays from the Math Factor!

1 Comment »

  1. Alan said,

    December 4, 2008 at 2:39 pm

    Referring to today’s puzzle, where n times the average of a set is added iteratively to the set: 
    n = 1 : 1 1 1 1 1 1
    n = 2 : 1 2 3 4 5 6 
    n = 3 : 1 3 6 10 15 21
    etc

    I’ve been fascinated with Pascal’s triangle since childhood. Each sequence for n can be derived from the previous: the delta for the n+1’th sequence is the nth sequence. You can see each as diagonals in the Triangle. Here’s an helpful image:
     http://en.wikipedia.org/wiki/Image:Pascal%27s_Triangle_rows_0-16.svg

    -Alan

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