Fibonacci numbers have a lot of numerical properties. A few can be mentioned is that the squares of the Fibonacci numbers added together by the consecutive number you get the next Fibonacci number, and when you add the squares together it also results to the Fibonacci sequence. Another is when adding the squares of the Fibonacci numbers for example one plus one plus four is six. Add nine to that, we get 15. Add 25, we get 40. Add 64, we get 104. Fibonacci shows here. Six is two times three, 15 is three times five and so on. Last to be mentioned is when you divide 13 by eight, you get 1.625 and if you dividde this larger number by the smaller number, the ratios get closer and closer to about 1.618.  Now the question is, what other numerical properties can you identify in the Fibonacci sequence ASIDE from those mentioned above and verify your assumptions.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Fibonacci numbers have a lot of numerical properties. A few can be mentioned is that the squares of the Fibonacci numbers added together by the consecutive number you get the next Fibonacci number, and when you add the squares together it also results to the Fibonacci sequence. Another is when adding the squares of the Fibonacci numbers for example one plus one plus four is six. Add nine to that, we get 15. Add 25, we get 40. Add 64, we get 104. Fibonacci shows here. Six is two times three, 15 is three times five and so on. Last to be mentioned is when you divide 13 by eight, you get 1.625 and if you dividde this larger number by the smaller number, the ratios get closer and closer to about 1.618. 

Now the question is, what other numerical properties can you identify in the Fibonacci sequence ASIDE from those mentioned above and verify your assumptions.

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Random Class and its operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education