1. FIBONACCI SEQUENCE
What is the Fibonacci sequence?
The Fibonacci sequence is a set of integers (the Fibonacci
numbers) that starts with a zero, followed by a one, then by another
one, and then by a series of steadily increasing numbers. The
sequence follows the rule that each number is equal to the sum of
the preceding two numbers.

2. Fibonacci was born Leonardo Pisano Bigollo
sometime in 1170 A.D. The exact date of his birth
is not known. He was born into privilege as his
father was a well- to- do merchant. His father did
a great deal of work in North Africa and young
Fibonacci would travel with him. The travels
exposed the young man to the Hindu–Arabic
numeral system that he later brought to Europe.
Fibonacci is considered by historians to be among
the greatest of all mathematicians during that
time period. The Hindu–Arabic numeral system
was able to be spread throughout Europe.

3. The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …
The next number is found by adding up the two numbers before it.
The 2 is found by adding the two numbers before it (1+1)
The 3 is found by adding the two numbers before it (1+2),
And 5 is (2+3),
and so on!
Example: the next number in the sequence above is 21+34 = 55

4. .
The Rule:
The Fibonacci Sequence can be written as a “Rule”
First, the terms are numbered from 0 onwards like this:
Fn = F0, F1, F2, F3, F4, F5, F6,……
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987,
1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025,
121393, 196418, 317811, ..
The Fibonacci sequence begins with the following of integers:

5. F0 = 0 F10 = 55
F1 = 1 F11 = 89
F2 = 1 F12 = 144
F3 = 2 F13 = 233
F4 = 3 F14 = 377
F5 = 5 F15 = 610
F6 = 8 F16 = 987
F7 = 13 F17 = 1597
F8 = 21 F18 = 2584
F9 = 34 F19 = 4181
Fibonacci Numbers List
Using the Fibonacci numbers formula and the method to find the successive terms in the
sequence formed by Fibonacci numbers, explained in the previous section, we can form
the Fibonacci numbers list as shown below.

6. Makes A Spiral
When we make squares with those widths, we get a nice spiral: