Formulae for General Term in a Sequence

By the end of this unit, students will be able to:

  1. recognize and describe numerical patterns and relationships;
  2. generate sequences of numbers based on given rules or patterns;
  3. extend and predict terms in sequences using the identified rules;
  4. apply the concept of generating sequences to real-life and mathematical problems.

Curriculum Alignment: KS3 Mathematics: Algebra

  • generate terms of a sequence from either a term-to-term or a position-to-term rule
  • recognise arithmetic sequences and find the nth term
  • recognise geometric sequences and appreciate other sequences that arise