In this paper, we consider the reciprocal sums of the Pell numbers by elementary methods. First, we investigate the reciprocals sums of two products of Pell numbers. Then, we study the alternating reciprocals sums of two products of Pell numbers. Last, we consider the reciprocal sums of even and odd terms in the Pell sequence. We obtain some interesting identities involving the Pell numbers.
展开▼
