Question: Let {bn0 1 be the sequence defined by the following recurrence: b1 = and bn+1 = 7 (b, + 1) for all n 2 1.

Let {bn0 1 be the sequence defined by the following recurrence: b1 = and bn+1 = 7 (b, + 1) for all n 2 1. (a) (3 Marks) Use induction to prove that 0 1. (b) (4 Marks) Use induction to show that the sequence is increasing. Hint. Show that bn+1 - bn > 0 for all n > 1. (c) (3 Marks) Conclude that {on} , converges and find the value of its limit

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