Example 9.7.1 showed that the following statement is true: For each integer n > 2, n(n - 1) n (equation 1). 2 Use this statement to justify the following. (:::)- n + 3 (n + 3)(n + 2) for each integer n 2 -1. 2 Solution: Let n be any integer with n 2 -1. Sincen + 3 2 , we can substitute n + 3 in place of n in equation 1 to obtain )-). n+ 3 (:) - n + n + 3 %3D By simplifying and factoring the numerator on the right hand side of this equation we conclude (n+3)(n+2) (*::) - n + 3 n +

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A: We have to find the entries of matrix Mn.

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A: This question related to polynomial and its roots.

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