SOLUTION: Given: The Fibonacci number sequence: 0,1,1,2,3,5,8.... Prove: ϕ(Golden Ratio) = {{{ (1+ sqrt(5))/2 }}} or ϕ(Golden Ration) = 1.618

Algebra.Com
Question 1174576: Given: The Fibonacci number sequence: 0,1,1,2,3,5,8....
Prove: ϕ(Golden Ratio) = or ϕ(Golden Ration) = 1.618

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

On Fibonacci number sequence read from this Wikipedia article

https://en.wikipedia.org/wiki/Fibonacci_number



On Golden ratio read from this Wikipedia article

https://en.wikipedia.org/wiki/Golden_ratio



RELATED QUESTIONS

1. Determine the 34th and 44th Fibonacci number. 2.Alex bought a suman at ACD canteen.... (answered by greenestamps)
What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8,... (answered by MathLover1)
1) if a 13-inch wide rectangular is to approach the golden triangle, what should its... (answered by josgarithmetic)
1. Evaluate the following sums given the sequence: 16, 14, 30, 44,... F(1) + F(2) +... (answered by ikleyn)
Sasha wants to create a rectangular picture frame for her mom's birthday. The ratio of... (answered by ikleyn)
There is a very famous sequence of numbers called Fibonacci Numbers. Here are the first... (answered by mananth)
A A point p divides a straight line ab in the golden ratio if AB:AP =AP:PB. Draw a... (answered by greenestamps)
Which is closer to a golden rectangle, a 4 1/2 x 7 1/4 ft window or a 4 ft x 6 1/2 ft... (answered by drk,solver91311)
To calculate permutations of the golden ratio start by writing the first 20 numbers of... (answered by solver91311)