In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as   with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for this sequence are given. The convergence property of the consecutive terms of this sequence is examined after which the well known Cassini, Catalan and the D'ocagne identities as well as some related summation formulas are also given.

In this paper, we bring into light the matrix representation of biperiodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal Matrix sequence. We define it asWe obtained the nth general term of this new matrix sequence. By studying the properties of this new matrix sequence, the well-known Cassini or Simpson's formula was obtained. We then proceeded to find its generating function as well as the Binet formula. Some new properties and two summation formulas for this new generalized matrix sequence are also given.By using Lemma 1, we obtained that;Similarly, the odd part of the above series is simplified as follows