7-2.docx - Fibonacci Sequence 2 Fibonacci Sequence Southern New Hampshire University December 13th 2019 Fibonacci Sequence The Fibonacci sequence was

# 7-2.docx - Fibonacci Sequence 2 Fibonacci Sequence Southern...

This preview shows page 1 - 4 out of 10 pages.

2Fibonacci SequenceFibonacci SequenceSouthern New Hampshire UniversityDecember 13th, 2019
2Fibonacci SequenceThe Fibonacci sequence was invented by Leonardo Pisano Bigollo. Leonardo was knownby the name Leonardo of Pisa, or better known for his nickname Fibonacci. Leonardo was a talented mathematician during the middle ages (1180-1250). In the year 1202, Leonardo wrote aninfluential book called “Liber Abaci” or “Book of Calculations”. Within this book he wrote and described the many benefits of using Hindu-Arabic system for mathematicians and merchants instead of the Roman numerals that were being used. However, despite the advantages of the new system, the switch from Roman numerals was slow and wasn’t popular. This was likely due to the fact that this was after the Crusades against Islam, a time in which anything having to do with Arabic culture was deemed “suspicious” (Mastin, 2010). In his book Leonardo described how the Hindi-Arabic system could benefit Italian merchants by making their tracking and calculations easier. Leonardo even first discovered the Fibonacci sequence when looking at how generations of rabbits were breeding (Mastin, 2010). Leonardo, using this sequence, was able to add, subtract, divide and even multiply using whole numbers and fractions. The techniques explained how using the numbering system could greatly simplify business transactions, and benefits everyone (Bradley, 2006 p.120). Leonardo’s incredible discovery of the Fibonacci sequence has completely changed and more-over improvedan entire nations system of calculations. Fixating our focus on his book “Liber Abaci”, one of the most influential books of its time, its detailed in the simplicity of the Fibonacci sequence; it is simply the sum of the two numbers that came before it. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 …This famous sequence of numbers spawned from a simple question, all about rabbits.
2Fibonacci Sequence“If a pair of rabbits is placed in an enclosed area, how many rabbits will be born there ifwe assume that every month a pair of rabbits produce another pair and that rabbits begin tobear young, 2 months after their birth?”This question first asked by Leonardo had a significant impact on mathematicians andthose alike. Noticed in part by Johannes Kepler, known for his Kepler Laws of celestialmechanics, he found there was a ratio of consecutive numbers in the Fibonacci sequence. Keplerfound φ, which is the symbol for phi, or the golden ratio. (Scott & Marketos, p.2). Phi is when

#### You've reached the end of your free preview.

Want to read all 10 pages?

• Summer '15
• Fibonacci number, Golden ratio