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    Fibonacci Sequence: by - Chirag Baid

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    CHIRAG BAID
    This document is a student project on the Fibonacci sequence by Chirag Baid. It includes an acknowledgement, certificate, index, and sections explaining what the Fibonacci sequence is, how it works by adding the two previous numbers, its history originating from Indian mathematics and introduced to the West by Fibonacci, and how the sequence appears in nature in patterns of petals, sunflowers, and seashells. The project follows guidelines for a class 11 business studies assignment.

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    Fibonacci Sequence: by - Chirag Baid

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    CHIRAG BAID
    60 views12 pages
    This document is a student project on the Fibonacci sequence by Chirag Baid. It includes an acknowledgement, certificate, index, and sections explaining what the Fibonacci sequence is, how it works by adding the two previous numbers, its history originating from Indian mathematics and introduced to the West by Fibonacci, and how the sequence appears in nature in patterns of petals, sunflowers, and seashells. The project follows guidelines for a class 11 business studies assignment.

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    Fibonacci Sequence

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    This document is a student project on the Fibonacci sequence by Chirag Baid. It includes an acknowledgement, certificate, index, and sections explaining what the Fibonacci sequence is, how it works by adding the two previous numbers, its history originating from Indian mathematics and introduced to the West by Fibonacci, and how the sequence appears in nature in patterns of petals, sunflowers, and seashells. The project follows guidelines for a class 11 business studies assignment.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    60 views12 pages

    Fibonacci Sequence: by - Chirag Baid

    Uploaded by

    CHIRAG BAID
    This document is a student project on the Fibonacci sequence by Chirag Baid. It includes an acknowledgement, certificate, index, and sections explaining what the Fibonacci sequence is, how it works by adding the two previous numbers, its history originating from Indian mathematics and introduced to the West by Fibonacci, and how the sequence appears in nature in patterns of petals, sunflowers, and seashells. The project follows guidelines for a class 11 business studies assignment.

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    © All Rights Reserved
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    You are on page 1of 12

    Fibonacci

    Sequence

    By – Chirag Baid
    Acknowledgement
    I would like to convey my sincere thanks to Pallavi Sharma (Teachers
    name), my business studies teacher who always gave me valuable
    suggestions and guidance during the project. She/he has a source of
    inspiration and helped me understand and remember important details of
    the project. She/he gave me an amazing opportunity to do this wonderful
    project Fibonacci Sequence‘(name of the project)’.
    I also thank my parents and friends for their help and support in finalizing
    this project within the limited time frame.
    Chirag Baid
    Name of the Student
    Certificate
    This is to certify that Chirag Baid (Name of the student) of class 11 has
    successfully completed the Business Studies Project on Fibonacci
    Sequence (Name of the project) as per the guidelines of class 11 Board
    examination conducted by CBSE.

    Teacher’s Signature :
    Teacher’s Name : Pallavi Sharma
    Index
    S.No. Topics Page No.
    1 What is Fibonacci Sequence ? 1
    2 How does it work? 2
    3 What is the history of it ? 3
    4 Fibonacci in Nature. 4
    5 Fibonacci Sequence in Petal Patterns. 5
    6 Fibonacci Sequence in Sunflowers. 6
    7 Fibonacci Sequence in Seashells. 7
    What is Fibonacci Sequence ?

     The Fibonacci sequence in a series of numbers that follows a unique integer


    sequence.
     These numbers generate mathematical patterns that can be found in all aspects of
    life.
     The patterns can be seen in everything from the human body to the physiology of
    plants and animals.

    1
    How does the Fibonacci Sequence Work ?
    The Fibonacci sequence is derived from the Fibonacci numbers. The Fibonacci numbers
    are as follows:
    0,1,1,2,3,5,8,13,21,34,55,89,144….and so on.
    These numbers are obtained by adding the two previous numbers in the sequence to obtain
    the next higher number.
    Example: 1+1=2, 2+3=5, 5+8=13…
    The formula : Fn = Fn-1 + Fn-2
    Every third number is even and the difference between each number is .618 with the
    reciprocal of 1.618 . These numbers are known as the “golden ratio” or “golden mean” .
    2
    What is the History of the Fibonacci Sequence ?

     The exact origination of the Fibonacci sequence is unknown.


     It is believed that the contributions to the theory began in 200 BC by an Indian
    mathematicians whose studies were based on Sanskrit prosody.
     The sequence was introduced to Western European mathematics in 1202 by Leonardo
    of Pisa, aka “Fibonacci”.
     His study of the sequence began with the breeding patterns of rabbits. In which he
    found rabbit generations duplicated accordance with the Fibonacci numbers.
    3
    Fibonacci in Nature.

     Patterns created by Fibonacci sequence can be found through


    nature…..

    4
    Fibonacci Sequence in Petal Patterns.
     The Fibonacci Sequence can be
    seen in most petal patterns.
     For instance most daisies have
    34, 55, or 89 petals. (The 9th, 19th,
    and 11th Fibonacci Numbers).

    5
    Fibonacci Sequence in Sunflowers.
     The Fibonacci Sequence can be found in
    a sunflower heads seed arrangement.
     The arrangements of seeds is based
    upon the golden mean which corresponds
    to the “golden angle” of 137.5 degrees.
     The seeds are arranged in consistent
    pattern of 137.5 degrees.
     This gives the flower the optimal filling
    ratio fir its seeds.
    6
    Fibonacci Sequence in Seashells.
     The Fibonacci numbers directly correspond
    to the spiral found in seashells.
     The numbers from what are called Fibonacci
    rectangles or “golden rectangles”.
     The rectangles are unique because each
    rectangle has sides equal to the length of the
    Fibonacci numbers.
     Within these rectangles we can create a
    spiral with cross sections equal to exactly
    1.618 (the “golden mean” with the
    corresponding angle of 137.5 degrees).
    7
    Bibliography
     Fibonacci Trading book
     Understanding Fibonacci Number book
     The (Fabulous) FIBONACCI Number book
     For images referred to Google
     www.Britannica.com

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