Question: (20 marks Define the sequence po, P1, p2, p3, . . . as follows. . Po = 2; and . for every n E N,

 (20 marks Define the sequence po, P1, p2, p3, . .

(20 marks Define the sequence po, P1, p2, p3, . . . as follows. . Po = 2; and . for every n E N, Pat1 = 3p, - 2. Using induction, prove for all n E N that Py = 3" + 1

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