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5. Prove the following by complete induction: Let bn (for n E N) be the sequence of integers defined by: (a) b1 = 1, (

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5. Prove the following by complete induction: Let bn (for n E N) be the sequence of integers defined by: (a) b1 = 1, ( b ) 62 = 8 , (c) bn = bn-1+ 2bn-2 for n > 3. Show for all n E N, bn = 3 . 2n-1 + 2 . (-1)". Hint: (-1)" is either 1 or -1 depending on the parity of n

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