The arithmetico-geometric sequence: an application of linear algebra. (English)

Int. J. Math. Educ. Sci. Technol. 47, No. 5, 766-772 (2016).

Summary: In this paper, we present a linear algebra-based derivation of the analytic formula for the sum of the first $n$th terms of the arithmetico-geometric sequence. Furthermore, the advantage of the derivation is briefly discussed.