The sequence {9} is defined recursively as follows: go = 1, and gn = 3 ⋅ gn−1 + 2n, for n²1. If the theorem below is proven by induction, what must be established in the inductive step? Theorem: For any non-negative integer n, gn = 2.2. -n- n-2/. O For k20, if gk = 3.9k-1 + 2k, then gk+1 = 5.2k+1 − (k+ 1) — 21. O For k20, if gk = /2-2k – k − ³/2, then gk+1 = 2k+1 (k+ 1) − ³/1. N/W

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