INTRODUCTORY EXERCISES - Mathematical Induction

1. Prove: For each positive integer n, 1 + 4 + 7 + ... + (3n - 2) = (3n2 - n)/2
Solution

2. Prove: For each positive integer n, 1 + 5 + 9 + ... + (4n - 3) = 2n2 - n
Solution

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