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When you expand the binomials you can recognize a recursive pattern being formed. (a + b) 1 Row 0 (a + b) 1 1

 

When you expand the binomials you can recognize a recursive pattern being formed. (a + b) 1 Row 0 (a + b) 1 1 Row 1 1 (a + b) 1 2 1 Row 2 1 2 (a+b) 1 3 3 1 Row 3 3 3 1 We can denote the terms in Pascal's trianlge as tn, r, where n is the row and r is the term in the nth row. For example, t3, 2 would the 2nd term in the 3rd row, which is 3. tn, r = tn-1, r-1 + tn-1, r Example 1: Express t 10,4 as a sum of two terms in Pascal's Triangle. Example 2: Express t6,2 + t6,3 as a single term in Pascal's Triangle.

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