Question: 7. (5 marks) Recall that the Fibonacci sequence { fn} is defined as follows: f1 = f2 = 1, and fn = fn-2+ fn-1, for

7. (5 marks) Recall that the Fibonacci sequence { fn} is

7. (5 marks) Recall that the Fibonacci sequence { fn} is defined as follows: f1 = f2 = 1, and fn = fn-2+ fn-1, for n 2 3. Consider the sequence { n } given inductively by fn+1 $1 = 1, Sn for n > 1. fn Assume that Sn converges. Find its limit

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