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Unveiling mathematical convergence [thesis]: Regine G. Mira, Cybille H. Ragay, Angel Daphne A. Tan, April Vic Ian F. Moral, Joss Adea T. Benedico, Louis Brian B. Besario, and Nitziery Journey G. Mana-ay. generating the golden ratio through Fibonacci sequence, Newton's approximation, and Pascal's triangle /

By: Contributor(s): Material type: TextTextPublication details: Dumaguete City: Foundation Preparatory Academy, 2024.Description: vii, 44 leaves: ill. (col.), 28 cmSubject(s): LOC classification:
  • LG 221 D35 P74 A5 S35 2024 M671
Dissertation note: Summary: This study delves into the intricate interplay of mathematical concepts to approach the elusive Golden Ratio through the lens of three distinct methodologies: the Fibonacci sequence, Newton's approximation, and Pascal's diagonal sum. Through meticulous analysis and experimentation, we explore these mathematical framework converge to generate values that draw ever closer to the golden ratio. By examining the convergence of these methods, we uncover the underlying principles that govern their efficacy in approximating this fundamental mathematical constant. Our findings shed light on the profound interconnectedness of mathematical theories and their collective ability to unveil the golden ratio.
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Item type Current library Call number Status Barcode
Thesis Thesis Foundation Preparatory Academy (FPA) Library Thesis LG 221 D35 P74 A5 S35 .2024 M671 (Browse shelf(Opens below)) Available 0372024015001

Thesis, Senior High School (STEM)-- Foundation Preparatory Academy, 2024.

Includes bibliographical references and appendices.

This study delves into the intricate interplay of mathematical concepts to approach the elusive Golden Ratio through the lens of three distinct methodologies: the Fibonacci sequence, Newton's approximation, and Pascal's diagonal sum. Through meticulous analysis and experimentation, we explore these mathematical framework converge to generate values that draw ever closer to the golden ratio. By examining the convergence of these methods, we uncover the underlying principles that govern their efficacy in approximating this fundamental mathematical constant. Our findings shed light on the profound interconnectedness of mathematical theories and their collective ability to unveil the golden ratio.

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