Orosi, Greg The arithmetico-geometric sequence: an application of linear algebra. (English) Zbl 1343.97006 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. Cited in 1 Document MSC: 97H60 Linear algebra (educational aspects) 97I30 Sequences and series (educational aspects) 15A18 Eigenvalues, singular values, and eigenvectors 40A05 Convergence and divergence of series and sequences Keywords:sequence; recursive relation; arithmetico-geometric sequence; eigenvectors; eigenvalues PDFBibTeX XMLCite \textit{G. Orosi}, Int. J. Math. Educ. Sci. Technol. 47, No. 5, 766--772 (2016; Zbl 1343.97006) Full Text: DOI References: [1] DOI: 10.1142/5909 · doi:10.1142/5909 [2] Parmenter MM. Theory of interest and life contingencies with pension applications: a problem solving approach. 3rd ed. Winsted (CT): ACTEX Publications; 1999. p. 58–59. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.