Solvable Quintics and Sextics Arising from Generalizations of the Fibonacci Numbers and the Golden Ratio

IJSRP, Volume 13, Issue 2, February 2023 Edition [ISSN 2250-3153]

Solvable Quintics and Sextics Arising from Generalizations of the Fibonacci Numbers and the Golden Ratio

Kristofer Jorgenson

Abstract: Generalizations of the Golden Ratio   1 5 2 and its irrational conjugate   1 5 2 denoted by va and va, respectively, satisfy n-th degree polynomials that factor into polynomials with integer coefficients that are consecutive terms of sequences that are generalizations of the Fibonacci sequence.

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Kristofer Jorgenson (2023); Solvable Quintics and Sextics Arising from Generalizations of the Fibonacci Numbers and the Golden Ratio; International Journal of Scientific and Research Publications (IJSRP) 13(02) (ISSN: 2250-3153), DOI: http://dx.doi.org/10.29322/IJSRP.13.02.2023.p13450