Fibonacci and Fibonacci-type Sequences: In Search of Innovative Pattern Recognition

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Published: Mar 15, 2022
Keywords:
Fibonacci Series, Fibonacci-type sequences, New Formula, Induction Method

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ARCHISMAN NANDY
St.Agnes School, Kharagpur, India

Abstract

The main objective of this paper is to search for an innovative pattern along with derivations connected to Fibonacci Series. Lucid proofs and clear explanations have been provided in this study to derive the pattern which has been conceptualized in this study, thus reducing the complexions and simplifying the Fibonacci formula in solving different problems connected to the Fibonacci series as well as Fibonacci-type sequences. In this paper further validation has also been made with the help of the induction method in the context of the new formula which has been conceptualized in this study. The novelty of this study is to contribute new knowledge to the existing knowledge which will serve the purpose of the Fibonacci series as well as the Fibonacci-type series with the help of the newly conceptualized formula.

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1.
NANDY A. Fibonacci and Fibonacci-type Sequences: In Search of Innovative Pattern Recognition. J. Int. Acad. Phys. Sci. [Internet]. 2022 Mar. 15 [cited 2024 May 17];26(1):41-7. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/809
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Vol. 26 No. 1 (2022): Table of Content
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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author Biography

ARCHISMAN NANDY, St.Agnes School, Kharagpur, India

Archisman Nandy has been conferred Diploma in Mathematics from Russia’s Peter The Great St. Petersburg Polytechnic University. He holds 5 record titles as ‘Most Academic Tests Qualified’, ‘Grand Master’, ‘Youngest to present Mathematics research paper at the virtual national conference’, ‘Maximum Olympiads Qualified by a Teenager’ and ‘Maximum Competitive Examinations Qualified by a Teenager’ conferred by the editorial boards of India Book of Records, Asia Book of Records (ABR), India Book of Records (IBR), Asia Book of Records (ABR) and Indian Achiever Book of Records (IABR) respectively. He has qualified for 132 competitive examinations including 60 national and 72 international in Mathematics, Physics, Informatics, Reasoning, Science, Social Science, Cyber, English, and General Knowledge. He has 2 research paper publications. Archisman has received 1 gold honour, 1 gold medal, 2 bronze medals, 2 silver medals, 2 Certificate of Distinctions, and Six (6) nos. top 3 international ranks by participating in International Olympiads like Germany’s International Youth Math Challenge (IYMC), Thailand International Mathematical Olympiad (TIMO), Singapore’s Southeast Asian Mathematical Olympiad (SEAMO), Singapore International Math Olympiad Challenge (SIMOC), Singapore & Asian School Math Olympiad (SASMO), Australian Mathematics Competition (AMC), International Mathematics Olympiad (IMO) International Talent Hunt Olympiad (ITHO), International Olympiad of Science (IOS), Indian School Talent Search Exam (ISTSE) and National Science Olympiad (NSO) respectively. He is the recipient of the coveted Bhagoban Chandra Dey Memorial Award-2018 and Krittibas Memorial Award-2019 from the Centre for Pedagogical Studies in Mathematics, Kolkata, India in recognition for regular participation and outstanding performance in Achievement and Diagnostic Test in Mathematics. His academic success stories have been featured in India’s reputed media like All India Radio (AIR), The Telegraph, The Times of India, The Dainik Jagran, and The Statesman. He has presented mathematics research papers in the national and international mathematics conferences conducted by the National Institute of Technology (NIT), Agartala, National Council of Educational Research and Training (NCERT) Regional Institute of Education (RIE), Bhopal. He holds the life membership of the Association of Mathematics Teachers of India (AMTI), Chennai, India. He can be reached at: archismannandy01@gmail.com

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