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10-74.
  1. Use mathematical induction to prove that the relationship below is true for n ≥ 1. Homework Help ✎

  2. 9 + 13 + 17 + … + (4n + 5) = n(2n + 7)

Prove the relationship is true for n = 1.
9 = (1)(2(1) + 7)
9 = 9

Assume that the relationship is true for some number k.

Prove that, if the relationship is true for k, then it is true for k + 1.