What is the sum of the first n odd positive integers? First, formulate a conjecture by trying a few examples (for example, what’s 1 + 3, for n = 2? What’s 1 + 3 + 5, for n = 3? What’s 1 + 3 + 5 + 7,...

What is the sum of the first n odd positive integers? First, formulate a conjecture by trying a few examples (for example, what’s 1 + 3, for n = 2? What’s 1 + 3 + 5, for n = 3? What’s 1 + 3 + 5 + 7, for n = 4?). Then prove your answer by induction