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Math Help - fibonacci

  1. #1
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    fibonacci

    Below is a interesting question involving fibonacci numbers, can some please help me with the problem.

    fibonacci-untitled.jpg

    Thanks in advance
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  2. #2
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    Quote Originally Posted by 1234567 View Post
    Below is a interesting question involving fibonacci numbers, can some please help me with the problem.

    Click image for larger version. 

Name:	Untitled.jpg 
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ID:	15182

    Thanks in advance
    .
    Last edited by 1234567; February 3rd 2010 at 01:59 PM.
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  3. #3
    MHF Contributor Bruno J.'s Avatar
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    Well there are many problems in there. Where do you get stuck? I can get you started but I won't do all of them.
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  4. #4
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    Quote Originally Posted by Bruno J. View Post
    Well there are many problems in there. Where do you get stuck? I can get you started but I won't do all of them.
    Thank you,

    i really stuck on

    Show that
    |cn+1cn| = 1/FnFn+1.

    Prove by induction that
    Fn>=10^n/6 for all n >=4. [Hint: you may need to do the cases n = 4, . . . ,9 to start the induction, and let the inductive step go from n to n+6.]

    Can you please give me tips on how to start them of thanks

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  5. #5
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    The following link might help you:

    Fibonacci number - Wikipedia, the free encyclopedia
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