By applying the method of generating functions, the purpose of this paper is to give several summations of reciprocals related to the quintuple product of the general second-order recurrence for arbitrary positive integers . As applications, some identities involving Fibonacci and Lucas numbers are obtained.
Keywords: Second order recurrence; Fibonacci number; Lucas num- ber; Quintuple product; Reciprocal 2000 Mathematics Subject Classification: 11B37, 11B39