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Homework Help: The sequence ratio

  1. Jul 20, 2011 #1
    The sqeuence of ratios of a fabinacci number

    F_n+1/F_n

    on looking at this.

    F_2/F_1 =1/1 =1

    F_3/F_2 =2/1 =2

    F_4/F_3 =3/2 =1.5

    F_5/F_4 = 5/3 = 1.667

    Why would F_n+1 = at F_4 =3 with also F_3=2 I think i understand the squence is fabin accie on the denominater but on the numerator its addition of the fraction before is this F_n+1 were i is a n number before not added one number.




    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 20, 2011 #2

    Mark44

    Staff: Mentor

    What are you asking? There is some information missing.

    Adding some punctuation would be helpful, as well.

    Each term in the sequence of ratios is the (n+1)st Fibonacci number divided by the nth Fibonacci number.

    With this Fibonacci sequence: {1, 1, 2, 3, 5, 8, 13, ...}
    the sequence of ratios is: {1/1, 2/1, 3/2, 5/3, 8/5, 13/8, ...} = {1, 2, 1.5, 1.666..., 1.6, 1.625, ...}

     
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