reclusive rule in geometric figures

label Algebra
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schedule 1 Day
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what  is the recursive  rule  for  triangle  sticks,how   to  find  the  number  of   sticks  in  each  triangle    in  the  geometric  figure?

May 28th, 2015

Pascal's Triangle Patterns

The Hockey Stick Pattern

The hockey stick pattern of Pascal's triangle shows sums of numbers in the triangle that appear as hockey sticks. The numbers descend in a slanted format at first, then it slants to form the shape of a hockey stick where the number in the slanted portion is the sum of the numbers that descended diagnoly. There are also more hockey-stick like patterns other than the ones highlighted, like the pattern highlighted with blue in the 11th, 12th, and 13th row. There are more hockey stick patterns than just the ones displayed. Can you find them? Hint: look directly above or below each of the hockey stick patterns already shown. The following shows, in simple terms, what is shown in the image: 

1+6+21+56 = 84

1+7+28+84+210+462+924 = 1716
1+12 = 13

May 28th, 2015

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May 28th, 2015
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