Recall that the Fibonacci sequence {f} is defined as follows: f = f2 = 1, and...

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Recall that the Fibonacci sequence {f} is defined as follows: f₁ = f2 = 1, and fn = fn-2 + fn-1, for n ≥ 3. Consider the sequence {sn} given inductively by 81 = 1, Sn= Assume that s, converges. Find its limit. fn+1 fn for n > 1. Recall that the Fibonacci sequence {f} is defined as follows: f₁ = f2 = 1, and fn = fn-2 + fn-1, for n ≥ 3. Consider the sequence {sn} given inductively by 81 = 1, Sn= Assume that s, converges. Find its limit. fn+1 fn for n > 1.

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The limit of the sequence s n given by the formula s n f n1 f n we can analyze the behavior of the F... View the full answer