Question: Pascal s triangle gives a method for calculating the binomial coefficients
Pascal’s triangle gives a method for calculating the binomial coefficients; it begins as follows:
The nth row of this triangle gives the coefficients for (a + b)n−1. To find an entry in the table other than a 1 on the boundary, add the two nearest numbers in the row directly above. The equation
Called Pascal’s equation, explains why Pascal’s triangle works. Prove that this equation is correct.
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