%0 Journal Article
%A Hlaleleni, Wandile
%T Generalising cubic sequences using a filtration method
%D 2012
%J Learning and Teaching Mathematics,
%V 2012
%N 13
%P 38-39
%@ 1990-6811
%I Association for Mathematics Education of South Africa (AMESA),
%X In my experience, most learners have become quite proficient at determining the general expression for a given quadratic sequence. One can build on this proficiency to generalise cubic sequences of the form Tn = an^{3} + bn^{2} + cn + d by using a filtration technique. The filtration method provides a means of "filtering out" the cubic part of the general expression for a cubic sequence leaving behind a quadratic "residue", a general expression for which can be found using any number of conventional approaches.
%G English,
%U https://journals.co.za/content/amesal/2012/13/EJC126262