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Cambridge AS & A Level Mathematics

1.6Series

Series in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic60 practice questions3 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 1.6.1Use the expansion of (a + b)ⁿ for a positive integer n.
  2. 1.6.2Recognise arithmetic and geometric progressions.
  3. 1.6.3Use the nth-term and sum formulae to solve problems on arithmetic and geometric progressions.
  4. 1.6.4Use the condition for convergence of a geometric progression and its sum to infinity.

Lessons

  • Geometric progressions and the sum to infinity

    45 min

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  • Sequences, sigma notation and arithmetic progressions

    45 min

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  • The binomial expansion for a positive integer index

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Series: sample question

1 mark

Find the 20th term of the arithmetic progression 7,11,15,…7, 11, 15, \ldots

Only if the answer has a unit, e.g. cm or km/h.

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