pascal behavior (a+b)6

Question

pascal behavior (a+b)6

Answer 1

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Answer 2

(a+b)^n

n = 1: 1

n = 2: 1 2 1

n = 3: 1 3 3 1

n = 4: 1 4 6 4 1

n = 5: 1 5 10 10 5 1

n = 6: 1 6 15 20 15 6 1 <==Answer

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Attn: Pascal behavior is the way you determine the coefficients of  binomial expansion (a+b)^n by adding the two coefficients from the above row. For example, for the expansion of (a+b)^7, you start with 1, and add the coeffcients from n = 6: 1 6 15 20 15 6 1. You get 1, 1+6, 6+15, 15+20, 20+15, 15+6, 6+1, 1

So, you have

n = 7: 1 7 21 35 35 21 7 1

Hope it helps you!