Sums of Generalized Fibonacci Numbers By Matrix Methods

Emrah Kilic1
1TOBB University oF Ecoxomics AND TECHNOLOGY, MATHEMATICS DEPARTMENT 06560 S6acTozl, ANKARATURKEY

Abstract

In this paper, we consider a certain second order linear recurrence and then give generating matriees for the sums of positively and negatively subscripted terms of this recurrence. Further, we use matrix methods and derive explicit. formulas for these sums.