CPM Homework Help : A2C Problem 12-93

Use mathematical induction to prove that the relationship below is true for n ≥ 1. Homework Help ✎
9 + 14 + 19 + … + (4n + 5) = n(2n + 7)

Step 1:

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

Step 2:

Assume that the relationship is true for some number k.

Step 3:

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