How do you formulate Fibonacci Sequences? What is

Deangelo Hardy

Deangelo Hardy

Answered question

2022-04-12

How do you formulate Fibonacci Sequences? What is its relation to the concept of Golden Ratio, Golden Rectangle, Golden Angle and Golden Spiral?

Answer & Explanation

awalkbyfaithbzu6

awalkbyfaithbzu6

Beginner2022-04-13Added 21 answers

Each number in the sequence is the sum of the two numbers that precede it. (formulation of Fibonacci series)
The formula is: xn+2=xn+1+xn
Relation between Fibonacci series and Golden ratio is that golden ratio is defined by the ratio of sequential Fibonacci numbers.
For example: 21=232=1.553=1.6667
Relation between Fibonacci Series and Golden rectangle: a golden rectangle is a rectangle whose side lengths are in the golden ratio and golden ratio can be obtained from Fibonacci series.
Relation between Fibonacci Series and Golden angle: the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio which can be obtained by Fibonacci series.
Relation between Fibonacci Series and Golden Spiral: a golden spiral is a logarithmic spiral whose growth factor is the golden ration which is obtained by Fibonacci series.

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