Fibonacci Sequence Ratios: F_n+1/F_n

[morbello]

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.

Homework Equations

The Attempt at a Solution

 

[Mark44]

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.

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, ...}

Homework Equations

The Attempt at a Solution