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ZIMSEC A-Level Pure Mathematics

6.3.2Series: notation and the binomial expansion

Series: notation and the binomial expansion in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic39 practice questions2 lessons
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Overview

Form 5.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.3.2.1Form 5: use Σ, n! and binomial-coefficient notation.
  2. 6.3.2.2Form 5: expand (a + b)ⁿ for a positive integer n and (1 + x)ⁿ for rational n with |x| < 1.
  3. 6.3.2.3Form 5: solve problems involving series.

Lessons

  • The binomial expansion for a positive integer index

    45 min

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  • The binomial expansion for a rational 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: notation and the binomial expansion: sample question

1 mark

Find the coefficient of x2x^2 in the expansion of (1+3x)5(1 + 3x)^5.

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

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