Question: 39. The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... begins with two l's and thereafter each term in the sequence is

 39. The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13,

21, ... begins with two l's and thereafter each term in the

39. The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... begins with two l's and thereafter each term in the sequence is the the sum of previous two terms. (a) Define the Fibonacci sequence recursively. (b) Clearly the Fibonacci sequence diverges to too, but consider the ratio of succes- sive terms an+1 for n > 1, i.e an 1 2 3 3 5 8 1'1'2'3'5 Assuming this "ratio sequence" converges to some limit L, find L

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