for Define a sequence xn recursively by the rules x1 = 2, x2 = 6, and xn = 3xn-1 – 2xn-2 30, and so on. Use induction to prove that for every n E N, we have | n 2 3. Thus x3 = 14, x4 = - 2n+1 – 2. Xn

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A: Step 1: Step 2: Step 3: Step 4:

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A: Mathemetical Induction