Identities of Generalized Pell and Pell-Lucas Sequences

Abstract

In this paper, we present sums of generalized Pell and Pell-Lucas sequences. These sequences were introduced by Tulay Yagmur in 2019. We establish some connection formulae of involving them. Also, we present its two cross two matrix representation. We have used their Generating function, Binet’s formula and Induction method to derive the identities.