discuss the mathematics behind various characteristics of the Fibonacci sequence. In particular, you will research and write about the following aspects of the Fibonacci sequence in your own words:...

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discuss the mathematics behind various characteristics of the Fibonacci sequence. In particular, you will research and write about the following aspects of the Fibonacci sequence in your own words:
Relation to Pascal’s Triangle.The Golden Ratio.Partial sums of the Fibonacci sequence.Negative numbers in the Fibonacci sequence.Additional Requirements:
Paper must be written in third person.Your paper should be 3-4 pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.

  1. he introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.

  2. The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved.Be sure this is in paragraph format, not numbered answers like a homework assignment.

  3. Theconclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind.Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.

  4. Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.

  5. Document formatting, citations, and style should conform to the CSU-Global Library’sCSU-Global Guide to Writing & APA: Introduction(Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in theNew Sample APA Paper(Links to an external site.). In addition, information in theCSU-Global Library(Links to an external site.)under the Writing Center/APA Resources tab has many helpful areas (Writing Center, Writing Tips, Template & Examples/Papers & Essays, and others).

Answered Same DayAug 08, 2021

Answer To: discuss the mathematics behind various characteristics of the Fibonacci sequence. In particular, you...

Anju Lata answered on Aug 09 2021
150 Votes
Running Head: Fibonacci Series
Fibonacci Sequence 2
Assessment
Topic: Fibonacci Sequence
Student Name:……………..
Student Number:…………….
University:………………
Introduction
Fibonacci sequence is a mathematical formula in which when we add any two numbers present in a sequence, we get the next number present in the series (Lamb, 2019). The series is like: 0,1,1,2,3,5,8,13,21,34 …etc. The equation symbolizing Fibonacci Series is Xn+2= Xn+1 +Xn.
Fibonacci sequence appears in nature while representing naturally occurring patterns. For example the seed array in sunflower appears as spiral pattern that is curving right and left. Total of these spirals when counted comes out to as a Fibonacci value. When the spirals are divided into two parts: facing right and left, we can find two consecutive Fibonacci Numbers of the series. Similarly the cauliflower, pineapples and pinecones also exhibit the Fibonacci Series. Fibonacci numbers can also be deciphered in examples like: growth points in the tree branches, the number of petals in flowers, family tree of honeybee colony and the human body parts.
Relation to Pascal’s Triangle
Fig.1. Source: Maplesoft (2019)
As shown above, the sum of diagonal entries at the Pascal’s Triangle comes out to be Fibonacci sequence. The...
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