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The Symmetry Property of Reciprocal Sums of 2-order Linear Recursive Sequences

HU Hong(Department of Mathematics, Huaiyin Teachers College, Huaian 223001, China)  
Let A and B be two nonzero real numbers, and z denote the set of integers, and let {w n} satisfy the recursive relation w n+2 =Aw n+1 -Bw n(n∈z) . In this paper we study the symmetry property of reciprocals sums of 2 order linear recursive sequences, and determine two infinite series involving 2 order linear recursive sequences is convergent. The results provide vast generalizations of corresponding results in .
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