Martins, João LuizBrandão, Adilson José Vieira2017-03-132017-03-132004MARTINS, J. L.; BRANDÃO, A. J. V. Fórmula de recorrência para a soma de séries infinitas. Lecturas Matemáticas, v. 25, p. 15-24, 2004. Disponível em: <http://scm.org.co/archivos/revista/Articulos/742.pdf>. Acesso em: 13 mar. 2017.0120-1980http://www.repositorio.ufop.br/handle/123456789/7370In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadam-type sequence. This recurrence formula is used to calculate the +∞ n=1 nkWnxn series sum without use of derivatives and at a lower computation cost. Some results are presented below which were obtained by numerical implementation of the recurrence formula for some particular values of k and x.pt-BRrestritoHoradam’s generalized numbersFibonacci sumsPell sumsArtigo publicado em periodicohttp://scm.org.co/archivos/revista/Articulos/742.pdf