Unveiling mathematical convergence [thesis]: generating the golden ratio through Fibonacci sequence, Newton's approximation, and Pascal's triangle /
Mira, Regine G.
Unveiling mathematical convergence [thesis]: generating the golden ratio through Fibonacci sequence, Newton's approximation, and Pascal's triangle / 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. - Dumaguete City: Foundation Preparatory Academy, 2024. - vii, 44 leaves: ill. (col.), 28 cm.
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.
Senior High:--Mathematical Research,--STEM (Science, Technology, Engineering, & Mathematics).
LG 221 D35 P74 / A5 S35 2024 M671
Unveiling mathematical convergence [thesis]: generating the golden ratio through Fibonacci sequence, Newton's approximation, and Pascal's triangle / 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. - Dumaguete City: Foundation Preparatory Academy, 2024. - vii, 44 leaves: ill. (col.), 28 cm.
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.
Senior High:--Mathematical Research,--STEM (Science, Technology, Engineering, & Mathematics).
LG 221 D35 P74 / A5 S35 2024 M671