A New Approach to Solve Convergence of Real Sequences Using Matrix Diagonalization

Abstract

This paper presents a novel method for solving the convergence of certain real sequences through the application of matrix theory
and diagonalization techniques. The proposed approach provides an efficient and insightful framework for analyzing sequence behavior, particularly in cases where traditional methods may be less effective. By utilizing the eigenvalues and eigenvectors of associated matrices, this method offers a clear and rigorous path to determining sequence convergence