The Fibonacci Sequence

 

The Fibonacci

When one of "the most talented Western mathematicians of the Middle Ages", Leonardo Bonnaci, created the Fibonacci sequence, it became widely popular and since then, it has held its value as one of the most famous mathematical concepts to ever exist amongst learners. It has impacted the world immensely, its influence ranging from finance and coding theories to even the shape of a simple flower!



The Sequence:

In the Fibonacci, each term is made up of the sum of its previous two terms. 
N= (N-1) + (N-2)
where 'N' is the term number.

The Fibonacci sequence goes as follows:
0,1,1,2,3,5,8,13,21,34,55.....

For example, lets take the 7th term which is 8. This implies that in our case N=7. The 2 terms before it, the 5th and 6th terms are 3 and 5 respectively, which add up to 8. The next term would be the sum of 34 and 55, so the 12th term is 89! The sequence goes on till infinity.




Applications in real life:


The Fibonacci is widely integrated into spirals and related shapes. When we make a spiral with the widths of the numbers in the Fibonacci sequence, the squares tend to fit neatly together. This spiral shape can be seen in nature where flowers adapt to the same technique!

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