Fibonacci Series and Golden Ratio - The Incredible Truth

Fibonacci Series

Golden Ratio has a deep relationship with Fibonacci series. This series was discovered by an Italian mathematician Leonardo Da Pisa. He said that the mystery of the universe nature is hidden in this series.
Fibonacci
The series is –
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …..

Each number is the sum of the previous two numbers,

1
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21 ….
Golden Ratio Calculation : http://www.theincredibletruths.com/2018/10/golden-ratio-calculation-mathematics-is.html

Relation between Fibonacci series and Golden Ratio

Let’s take a brief look into the Fibonacci Series. If we divide the result term (sum) to its previous term, then we can get the value of Golden ratio.

1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666…
8/5 = 1.6
13/8 = 1.625
21/13 = 1.61538…

So, we can see that excepting the first three equations, all have approximately the same value to the Golden Ratio. From the 39th equation the value becomes constant and exactly same to the value of phi.

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