The sequence {n} is defined recursively as follows: ho = 1, and hn 3. hn-1 + 1, for n ≥ 1. = Suppose that the following theorem is proven by induction: Theorem: For any non-negative integer n, hn = 1/2 · (3¹+¹ − 1). The proof of the induction step (after stating what is assumed and will be proven) starts out as: hk+1 = 3.hk +1 (Label 1) hk+1 = 3·½(3k+¹ − 1) (Label 2) hk+1 What are the correct labels for lines 1 and 2? Label 1: by the inductive hypothesis

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