Fibonacci, also known as the Leonardo of Pisa, born in the early 1770’s AD in Pisa, Italy, has had a huge impact on today’s math, and is used in everyday jobs all over the world. After living with his dad, a North African educator, he discovered these ways of math by traveling along the Mediterranean Coast learning their ways of math. With the inspiration from the “HinduArabic” numerical system, Fibonacci created the 09 number system we still use to this day.
One of his most important and interesting discoveries is probably what is known as the Fibonacci sequence. It goes like this: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. He discovered this sequence through an experiment on an over population and breeding of rabbits. He then realized that if you add the last two numbers together you get the next one.
The Fibonacci sequence can be found almost anywhere including: architecture, economics, music, aesthetics, and most famously known, nature. For example the way seeds are arranged on a sunflower or pinecone, uses the Fibonacci sequence to prevent over crowding. It can also be seen in spiral galaxies, shells, the way water falls on a spider web, and even in your own body. Did you know that if you go from the bone in the tip of your finger to it’s middle it should be two fingernails long, followed by the base at about 5 fingernails, and the final bone goes all the way to about the middle of your palm which is the length of about 8 fingernails? There are other example of this in your body to such as a DNA strand is 34 by 21 angstroms. Mozart uses it in his worldknown sonatas by how many measures he puts in each section of his music. Or on a piano, if you look at the scale, there are 13 keys, 8 are white, and 5 black, which are split into groups of 2 and 3. When it comes to architecture, it’s been used as early as 2,560 BC on the Great Giza Pyramids. Leonardo DaVinci always tried to use this sequence throughout his artwork to,...
...The Discovery of the FibonacciSequence
A man named Leonardo Pisano, who was known by his nickname, "Fibonacci", and named the series after himself, first discovered the Fibonaccisequence around 1200 A.D. The Fibonaccisequence is a sequence in which each term is the sum of the 2 numbers preceding it. The first 10 Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21,...
...Email: shed30rar@aol.com
Leonardo Fibonacci Leonardo Fibonacci was born in Pisa, Italy around 1175 to Guilielmo Bonacci. Leonardo's father was the secretary of the Republic of Pisa and directed the Pisan trading colony. His father intended on Leonardo becoming a merchant. His father enlisted him in the Pisan Republic, sending him to various countries. As Leonardo continued to travel with his father, he acquired mathematical skills while in Bugia....
...Anatolia College 
Mathematics HL investigation

The Fibonaccisequence 
Christos Vassos

Introduction
In this investigation we are going to examine the Fibonaccisequence and investigate some of its aspects by forming conjectures and trying to prove them. Finally, we are going to reach a conclusion about the conjectures we have previously established.
Segment 1: The Fibonaccisequence...
...that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances.
Suppose a newlyborn pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never dieand that the female always produces one new pair (one male, one female) every month from the second month on. The puzzle...
...SEQUENCE
* In mathematics, informally speaking, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Most precisely, a sequence can be defined...
...Week One Assignment
Allana Robinson
MAT 126
Survey of Mathematical Methods
Melinda Hollingshed
August 21, 2011
Arithmetic Sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount. This amount is known as the common difference and can be found using a specific formula by substituting the numbers from the word problem into the equation. When you plug in all the information, you are able to...
...Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems:
First Problem: question 35 page 230
Second Problem: question 37 page 230
Mathematics  General Mathematics
Week One Written Assignment
Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World .
For each exercise, specify whether it involves an...
...on. The puzzle that Fibonacci posed was how many pairs will there be in one year? When attempting to solve this problem, a pattern is detected:
Figure 1: Recognizing the pattern of the "rabbit problem".
If we were to keep going month by month, the sequence formed would be 1,1,2,3,5,8,13,21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci...
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