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i 2 l i 3 3 1 l 4 6 4 l I 5 10 10 5 l 1 6 15 20 15 6 l 1. How do you get each successive row of this triangle? 2. Add two more rows to the triangle. This pattern of numbers is called Pascal 's triangle. after the great seventeenth cen- tury French mathematician Blaise Pascal. The pattern was known and in use much before Pascal's time, but he is credited with making ingenious use of it in the theory of probability. The triangle may be continued indenitely. In this activity, however. we will only look at some of the interesting number patterns hidden here. without delving into probability. 3. Find the sum of the numbers in each row. How is this sum related to that particular row? Consider the diagonal patterns marked below. 6- 4 10 10 5 4. Find the sum of the numbers lying along each diagonal. What do you find? 5. Find and describe two other patterns in Pascal's triangle