On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions

Jerico B. Bacani; Julius Fergy T. Rabago

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arXiv · 1503.05301

On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions

Jerico B. Bacani·Julius Fergy T. Rabago

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Abstract

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

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Jerico B. Bacani, Julius Fergy T. Rabago. 2015-03-18. On Linear Recursive Sequences with Coefficients in Arithmetic-Geometric Progressions. https://arxiv.org/abs/1503.05301

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