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

Attachment 15182

Thanks in advance

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- Feb 3rd 2010, 11:28 AM1234567fibonacci
Below is a interesting question involving fibonacci numbers, can some please help me with the problem.

Attachment 15182

Thanks in advance - Feb 3rd 2010, 11:52 AM1234567
- Feb 3rd 2010, 04:26 PMBruno J.
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.

- Feb 3rd 2010, 11:06 PM1234567
Thank you,

i really stuck on

Show that |cn+1−cn| = 1/FnFn+1.

Prove by induction thatFn>=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

- Feb 4th 2010, 02:11 PMgdmath
The following link might help you:

Fibonacci number - Wikipedia, the free encyclopedia