We present a certain generalization of a recent result of M. I. C^rnu
on linear recurrence relations with coefficients in progressions [2]. We
provide some interesting examples related to some well-known integer
sequences, such as Fibonacci sequence, Pell sequence, Jacobsthal se-
quence, and the Balancing sequence of numbers. The paper also pro-
vides several approaches in solving the linear recurrence relation under
consideration. We end the paper by giving out an open problem.