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12. Series

Syllabus
0606–2028–2029
Topic
12
Level
—

12.1. Use the binomial theorem

  • Use the binomial theorem to expand (a + b)^n for positive integer n.
  • Includes simplification of coefficients.
  • The formula is given in the List of formulas.

12.2. Use the general binomial term

  • Use the general term in a binomial expansion.
  • Includes finding a specified term such as the term independent of x.
  • Knowledge of the greatest term and properties of coefficients is not required.

12.3. Recognise arithmetic and geometric progressions

  • Recognise arithmetic and geometric progressions and understand the difference between them.

12.4. Use finite progression formulas

  • Use formulas for the nth term and the sum of the first n terms to solve problems involving arithmetic or geometric progressions.
  • Problems may be in context.
  • Formulas are given in the List of formulas.

12.5. Use convergence and sum to infinity

  • Use the condition for convergence of a geometric progression and the formula for the sum to infinity of a convergent geometric progression.
  • Explain why a particular geometric progression has or does not have a sum to infinity.
  • The formula is given in the List of formulas.

Objective notes

5 learning objectives
ConceptIGCSE Additional Math