Question: Question 3 a) Consider the sequence S, defined by S =5 and S,, = 4+S for n 21. By using the principle of mathematical induction,

Question 3 a) Consider the sequence S, defined by S =5

Question 3 a) Consider the sequence S, defined by S =5 and S,, = 4+S for n 21. By using the principle of mathematical induction, prove that the sequence is Monotone. Hence, deduce that the sequence is convergent and find its limit. (8 marks)

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