ERIC Number: EJ1122722
Record Type: Journal
Publication Date: 2017
Abstractor: As Provided
A Generalization of Generalized Fibonacci and Generalized Pell Numbers
Abd-Elhameed, W. M.; Zeyada, N. A.
International Journal of Mathematical Education in Science and Technology, v48 n1 p102-107 2017
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which are recently developed are deduced as special cases. Moreover, some other interesting identities involving the celebrated Fibonacci, Lucas, Pell and Pell-Lucas numbers are also deduced.
Descriptors: Generalization, Numbers, Number Concepts, Number Systems, Mathematical Formulas, Mathematics Activities, Problem Solving, Teaching Methods
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A