# SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS

• Cerin, Zvonko (Department of Mathematics, Zagreb University) ;
• Bitim, Bahar Demirturk (Department of Mathematics, Sakarya University) ;
• Keskin, Refik (Department of Mathematics, Sakarya University)
• Accepted : 2018.02.09
• Published : 2018.03.25
• 283 6

#### Abstract

In this paper we obtain some formulae for several sums of generalized Fibonacci numbers $U_n$ and generalized Lucas numbers $V_n$ and their dual forms $G_n$ and $H_n$ by using extensions of an interesting identity by A. R. Amini for Fibonacci numbers to these four kinds of generalizations and their first and second derivatives.

#### Keywords

generalized Fibonacci sequence;generalized Lucas sequence;dual generalized Fibonacci sequence;dual generalized Lucas sequence;sum of products

#### References

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