Discovering The Properties, Applications and Factual Manifestations of The Fibonacci Series

Isha Patil¹ , Garima Singh² , Pooja Sharma³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.2 , pp.6-19, Apr-2024

Online published on Apr 30, 2024

Copyright © Isha Patil, Garima Singh, Pooja Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The Fibonacci series is a sequence of numbers that has fascinated mathematicians, scientists, and artists for centuries due to its intriguing properties and wide-ranging applications across various fields. This research paper aims to delve into the origins, mathematical properties, and practical applications of the Fibonacci series. Beginning with an overview of its historical background, the paper progresses to examine its mathematical properties, recurrence relation, and closed-form expression. Furthermore, it explores diverse applications of the Fibonacci series in mathematics, computer science, nature, and art, highlighting its significance and versatility in real-world contexts. By consolidating information from various disciplines, this paper presents a comprehensive understanding of the Fibonacci series and its enduring relevance in modern society.

Key-Words / Index Term :
Fibonacci, Golden Ratio, Encryption, Golden Spiral

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