Question: Discrete math question (4 points) Suppose { an } is a sequence recursively defined by a1 = 1 and an+1 = 2an + 2 for

Discrete math question

Discrete math question (4 points) Suppose { an } is a sequence

(4 points) Suppose { an } is a sequence recursively defined by a1 = 1 and an+1 = 2an + 2" for all integers n, n 2 1. Use induction to prove that On = n2"-1 for all positive integers n

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