FIBONACCI SEQUENCE
Fibonacci's Liber Abaci has the earliest known description of the number sequence outside of India which had been described by mathematicians in Indian mathematicians in the sixth century. Fibonacci (c. 1170 – c. 1250)[3] was
- an Italian mathematician from the Republic of Pisa
- He is seen as the one of the best mathematicians of the Middle Ages
- His sequence can be seen throughout nature and has many practical case uses
Each number in the Fibonacci sequence is the sum of the previous two numbers. Fibonacci began the sequence with 1, 1, 2, and so forth.
This calculation reaches upwards of the thirteenth place. Some value this to be 233, though he documented in different writings to the higher next place which is the the 377 value in the sequence.
Fibonacci did not speak about the golden ratio as the limit of the ratio of consecutive numbers in this sequence.
In mathematics, the Fibonacci numbers, commonly denoted Fn form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. Fibonacci sequence beings in this way with F1 = F2 = 1.
The beginning of the sequence is thus:
(0,) 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,
The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci display. One such takes the sizes of these squares: 1, 1, 2, 3, 5, 8, 13 and 21.
THE GOLDEN RATIO
The golden ratio and Fibonacci numbers are strongly correlated.
Binet's formula expresses the nth Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibonacci numbers tends to the golden ratio as n increases.
INTRODUCTION TO SEQUENCE
NATURE DISPLAYS THE FIBONACCI SEQUENCE
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