n Learning and Teaching Mathematics - Generalising cubic sequences using a filtration method

Volume 2012, Issue 13
  • ISSN : 1990-6811


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 sequences of the form = 3 + 2 + + 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.

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