Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 11 views

    Math Bsit

    Uploaded by

    Angela Charisse Galarido
    The document discusses the Fibonacci sequence and the golden ratio/mean. It explains that the Fibonacci sequence was introduced by the Italian mathematician Leonardo Fibonacci in 1202. The golden ratio is derived by dividing each Fibonacci number by its predecessor, with the quotient approaching 1.618. The Fibonacci sequence and golden ratio are found throughout nature, appearing in patterns of fingers, plant leaves, sunflower petals, and DNA structure. Mathematical patterns in nature include symmetries, trees, spirals, and tessellations.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Math Bsit

    Uploaded by

    Angela Charisse Galarido
    11 views2 pages
    The document discusses the Fibonacci sequence and the golden ratio/mean. It explains that the Fibonacci sequence was introduced by the Italian mathematician Leonardo Fibonacci in 1202. The golden ratio is derived by dividing each Fibonacci number by its predecessor, with the quotient approaching 1.618. The Fibonacci sequence and golden ratio are found throughout nature, appearing in patterns of fingers, plant leaves, sunflower petals, and DNA structure. Mathematical patterns in nature include symmetries, trees, spirals, and tessellations.

    Original Title

    math bsit

    Copyright

    © © All Rights Reserved

    Available Formats

    DOCX, PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    The document discusses the Fibonacci sequence and the golden ratio/mean. It explains that the Fibonacci sequence was introduced by the Italian mathematician Leonardo Fibonacci in 1202. The golden ratio is derived by dividing each Fibonacci number by its predecessor, with the quotient approaching 1.618. The Fibonacci sequence and golden ratio are found throughout nature, appearing in patterns of fingers, plant leaves, sunflower petals, and DNA structure. Mathematical patterns in nature include symmetries, trees, spirals, and tessellations.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    11 views2 pages

    Math Bsit

    Uploaded by

    Angela Charisse Galarido
    The document discusses the Fibonacci sequence and the golden ratio/mean. It explains that the Fibonacci sequence was introduced by the Italian mathematician Leonardo Fibonacci in 1202. The golden ratio is derived by dividing each Fibonacci number by its predecessor, with the quotient approaching 1.618. The Fibonacci sequence and golden ratio are found throughout nature, appearing in patterns of fingers, plant leaves, sunflower petals, and DNA structure. Mathematical patterns in nature include symmetries, trees, spirals, and tessellations.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    You are on page 1of 2

    Mathematics in the Modern World

    Mark Christian P. Sierra

    BSIT-1112

    1. What are the Fibonacci numbers and how are they obtained?
    - Fibonacci sequence is a series of numbers in which each number is the sum of the two
    preceding numbers. It can generate mathematical patterns that can be found in all
    aspects of life. Fibonacci sequence was named after the Italian mathematician Leonardo
    of Pisa, later known as Fibonacci, who introduced the sequence to Western European
    mathematics in his 1202 book Liber Abaci.

    2. Where did the study of the sequence begin?


    - At the year 1202, in Pisa, Italy. In his twenties, Leonardo Pisano Bigollo was a young
    man who came from a prominent Pisa trading family. He was fascinated by the
    mathematical concepts that had traveled from India to the west via the Arabic nations
    during his travels throughout the Middle East. When he got back to Pisa, he published
    these concepts in a classic work of mathematics called Liber Abaci. Leonardo,
    afterwards referred to as Fibonacci, rose to prominence as the most renowned
    mathematician of the Middle Ages.

    3. What is the golden ration/golden mean?


    - The golden ratio or mean is .168 or 1.618

    4. How the golden ration/mean related to the Fibonacci sequence?


    - The golden ratio is derived by dividing each number of the Fibonacci series by its
    immediate predecessor. In mathematical terms, if F (n) describes the nth Fibonacci
    number, the quotient F (n)/ F (n-1) will approach the limit 1.618... For increasingly high
    values of n. This limit is better known as the golden ratio

    5. Where can the Fibonacci sequence be found?


    - Fibonacci sequence can be found anywhere and it can be seen from objects to living
    things.
    6. What are some natural phenomena created by using the Fibonacci sequence?
    - The Fibonacci sequence is a sequence or pattern that appears everywhere in nature;
    from the proportions of your fingers, the arrangement of leafs in plants, up to the
    structure of the DNA. Even living things in nature appear in Fibonacci sequences. A
    typical example is the sunflower flower which usually gives the number of leaves
    according to Fibonacci numbers, i.e., 55 or 89 leaves.

    7. Complete the sequence using the Fibonacci:


    a) 3,4,7,11,18, 29, 47, 76, 123, 199
    b) 44,45, 89, 134, 223, 357, 580, 937
    c) 20, 21, 41, 62, 103, 165, 268, 433, 701, 1134, 1835
    d) 15, 16, 31, 47, 78, 125, 203, 328,5 31

    8. What are the two (2) types of pattern in nature?


    - Natural patterns include symmetries, trees, spirals, meanders, waves, foams,
    tessellations, cracks and stripes.

    9. How do kinds of pattern in nature differ?

    10. What is the help of development of mathematical theories to nature?

    You might also like