I need help with part D For each integer n ≥ 2,(₁²₂) = ²Use this statement to justify the following.(2+3)=([(+)-n(n-1)23(n+³)= (n + 3) (n + 2), for each integer n ≥ −1.2=Solution: Let n be any integer with n 2-1. Since n + 3 ≥ 2=(equation 1).2n+3By simplifying and factoring the numerator on the right hand side of this equation we conclude)-₁), we can substitute 7+ 3in place of n in equation 1 to obtain

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n(n-1) 2 this statement to justify the following. (n+³) = - :)-( (equation 1). 2 (n + 3)(n + 2) 2 tion: Let n be any integer with n 2-1. Since n +32 2 ( for each integer n 2 -1. n+3 )-¹). , we can substitute n +3 mplifying and factoring the numerator on the right hand side of this equation we conclude in place of n in equation 1 to obtain