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One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is just the two numbers above it added together (except for the edges, which are all "1").(Here I have highlighted that 1+3 = 4)Identifying Terms by PositionAny term in Pascal’s triangle can be identified by its position.Eg. In row 3, the terms are 1, 3, 3, 1. 1 is 3 is 3 is 1 is Expanding Binomials: x+1= x+12=x+13=x+14=a+b= a+b2=a+b3=a+b4=Example 1Using Pascal’s Triangle, find x+17=Example 2Using Pascal’s Triangle, find x+25=Example 3Using Pascal’s Triangle, find3x-26=Example 4Using Pascal’s Triangle, find2x-3y5=Example 5Using Pascal’s Triangle, findx2-y36=Example 6Using Pascal’s Triangle, find2xy+z27=Homework: pg. Pg. 377 C1, C3, C4, 1, 2, (3,4)ac, 5, 6, (7,8)ac, 10, 13, 16, 17, 19 ................
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