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Proving upper bounds for recurrence relations

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Proving upper bounds for recurrence relations.

Prove the following statement using strong induction.

Define the sequence {an} as follows:

  • a0 = a1 = 2
  • an = (an-1)2 an-2, for n ≥ 2

Prove that for all n ≥ 0, an≤23n

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