An Alternating Sum of Fibonacci and Lucas Numbers of Order k

Spiros D. Dafnis, Andreas N. Philippou and Ioannis E. Livieris
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Spiros D. Dafnis: Department of Business Administration, University of the Aegean, GR 821-32 Chios, Greece
Andreas N. Philippou: Department of Mathematics, University of Patras, GR 265-00 Patras, Greece
Ioannis E. Livieris: Department of Mathematics, University of Patras, GR 265-00 Patras, Greece

Mathematics, 2020, vol. 8, issue 9, 1-4

Abstract: During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of these identities has been generalized to the case of Fibonacci and Lucas numbers of order k . In the present work, we state and prove a new identity regarding an alternating sum of Fibonacci and Lucas numbers of order k . Our result generalizes recent works in this direction.

Keywords: Fibonacci numbers; Lucas numbers; order k; relation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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