Asian Journal of Advanced Research and Reports

On Summing Formulas for Horadam Numbers

Y¨ uksel Soykan *

Department of Mathematics, Faculty of Art and Science, Zonguldak B¨ ulent Ecevit University, 67100, Zonguldak, Turkey.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are
presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas,
Jacobsthal, Jacobsthal-Lucas numbers.

Keywords: Fibonacci numbers, Lucas numbers, Pell numbers, Jacobsthal numbers, sum formulas, summing formulas.

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