Fibonacci and lucas identities derived via the golden ratio

HIGHLIGHTS

  • who: Fibonacci number et al. from the Department of Physics and Engineering Physics, Obafemi Awolowo University, Ile-Ife, Nigeria have published the research: Fibonacci and Lucas identities derived via the golden ratio, in the Journal: (JOURNAL)
  • what: The aim of this paper is to derive numerous Fibonacci and Lucas identities by emphasizing identities -(6), expressing n α and β n in terms of Fn and Ln.

SUMMARY

    Carlitz (also Hoggatt et_al ) derived the identity Fk+t=αk Ft + β t Fk, which can be put in the form αs Fk+t=αs+k Ft . . .

     

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