Unit 5.2: Geometric Sequences

  • If the sequence or series is geometric then:
  • If the sequence is quadratic then there is a constant second difference.
  • Learners tend to struggle with the meaning of n,  and . Emphasise to them that the value of n represents the term’s position in the sequence, whereas  represents the actual term with position n.
  • For geometric:
  • Solving simultaneous equations is important and needs to be revised before the start of this chapter. Learners often struggle to understand the meaning of the sum to infinity of a convergent geometric series. Emphasise to them that the sum to infinity is the value approached as terms are added progressively.
  • Applications of sequences and series in the real world are important for learners to focus on.