1. What is the best way to start? 1.Plug in n = 1. 2.Factor 6n 2 + 5n + 4. 3.Let n be an integer. 4.Let n be an odd integer. 5.Let 6n 2 + 5n + 4 be an odd integer. 6.Assume all odd integers.

2. What is the best way to start? 1.Plug in n = 1. 2.Factor 6n 2 + 5n + 4. 3.Let n be an integer. 4.Let n be an odd integer. 5.Let 6n 2 + 5n + 4 be an odd integer. 6.Assume all odd integers.

3. What is the next line of the proof? 1.Then 6n 2 + 5n + 4 is odd. 2.Then 6n 2 + 5n + 4 = 2k + 1 for some integer k. 3.Then n = 2k + 1 for some integer k. 4.Then n = 2k + 1 and 6n 2 + 5n + 4 = 2j + 1 for integers k and j. 5.Then n + 1 is even.