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The golden ratio (Posted on 2015-09-16) Difficulty: 3 of 5
In a Fibonacci sequence 1, 1, 2, 3, 5, …, Fn, Fn+1
define Rn = Fn/ Fn-1

Prove that lim (Rn) as n approaches infinity
is .5*(1+sqrt(5))=1.618...
a.k.a. the golden ratio, φ (phi).

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: No SubjectSteve Herman2015-09-18 17:26:19
No SubjectJayDeeKay2015-09-18 15:58:36
Discretion helpsSteve Herman2015-09-18 12:56:14
re(2): SolutionSteve Herman2015-09-18 07:37:32
re: SolutionSteve Herman2015-09-16 12:28:30
SolutionSolutionJayDeeKay2015-09-16 09:17:40
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