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(Solved): 13. Let fn stand for the nth term of the Fibonacci sequence. What is remarkable about the seque ...


13. Let \( f_{n} \) stand for the \( n \)th term of the Fibonacci sequence. What is remarkable about the sequence of differen

13. Let stand for the th term of the Fibonacci sequence. What is remarkable about the sequence of differences ? What about the sequence of ratios ?


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The Fibonacci sequence is defined as follows:
f(0) = 0 f(1) = 1    for n    2


Let's examine the sequence of differences:
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