Question: 4. [5 marks] a) Define a sequence by setting a1 = 5 and anti = an - 2an + 2, n 2 1. i) Prove

4. [5 marks] a) Define a sequence by setting a1 = 5 and anti = an - 2an + 2, n 2 1. i) Prove that for 1 2. ii) Prove that {an} converges. b) Does the sequence still converge if we change the initial condition to al =

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