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ZIMSEC A-Level Pure Mathematics

6.3.1Sequences

Sequences in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic42 practice questions2 lessons

Overview

Form 5.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.3.1.1Form 5: define a sequence and calculate successive terms from definitions such as uₙ = n² and uₙ₊₁ = 2uₙ.
  2. 6.3.1.2Form 5: distinguish among periodic, oscillating, convergent and divergent sequences.
  3. 6.3.1.3Form 5: define arithmetic and geometric progressions and find their general and other terms.
  4. 6.3.1.4Form 5: find sums of arithmetic and geometric progressions and the sum to infinity of a convergent geometric series.

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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Sample question

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

Sequences: 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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