000			02237nam a22003257a 4500
003			OSt
005			20240927161446.0
008			240916b |||||||| |||| 00| 0 eng d
040			_cFoundation University
050			_aLG 221 D35 P74 _bA5 S35 2024 M671
100			_aMira, Regine G. _97780
245			_aUnveiling mathematical convergence [thesis]: _cRegine 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. _bgenerating the golden ratio through Fibonacci sequence, Newton's approximation, and Pascal's triangle /
260			_aDumaguete City: _bFoundation Preparatory Academy, _c2024.
300			_avii, 44 leaves: _bill. (col.), _c28 cm.
502			_6Thesis, Senior High School (STEM)-- Foundation Preparatory Academy, 2024.
504			_aIncludes bibliographical references and appendices.
520			_aThis 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.
650			_2LC
658			_aSenior High: _bMathematical Research, _cSTEM (Science, Technology, Engineering, & Mathematics).
690			_2FU _aMathematical analysis. _98084
690			_2FU _aMathematical model. _98085
690			_2FU _aMathematics.
700			_aRagay, Cybille H. _97781
700			_aTan, Angel Daphne A. _97782
700			_aMoral, April Vic Ian F. _97783
700			_aBenedico, Joss Adea T. _97784
700			_aBesario, Louis Brian B. _97785
700			_aMana-ay, Nitziery Journey G. _97786
942			_2lcc _cTH _n0 _hLG 221 D35 P74 _iA5 S35 2024 M671
999			_c3622 _d3622