### Home > INT3 > Chapter Ch10 > Lesson 10.1.5 > Problem 10-74

10-74.

Use mathematical induction to prove that the relationship below is true for

*n*≥ 1. Homework Help ✎9 + 13 + 17 + … + (4

*n*+ 5) =*n*(2*n*+ 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.