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Learning objective

1. Extend a specified number sequence or pattern by identifying the next two terms. For example, determine the next two terms in the sequence: 1, 3, 6, 10, 15, … , … 2. Identify patterns within sequences, including the rules that connect terms and the relationships among various sequences. 3. Calculate and apply the nth term for the following types of sequences: (a) linear (b) simple quadratic, such as determining the nth term for the sequence 2, 5, 10, 17 (c) simple cubic.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Algebra and graphs

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Quick explanation

1. Extend a specified number sequence or pattern by identifying the next two terms. For example, determine the next two terms in the sequence: 1, 3, 6, 10, 15, … , … 2. Identify patterns within sequences, including the rules that connect terms and the relationships among various sequences. 3. Calculate and apply the nth term for the following types of sequences: (a) linear (b) simple quadratic, such as determining the nth term for the sequence 2, 5, 10, 17 (c) simple cubic

  • This point belongs to Sequences, especially Sequences outcomes.
  • You need to be able to 1. Extend a specified number sequence or pattern by identifying the next two terms. For example, determine the next two terms in the sequence: 1, 3, 6, 10, 15, … , … 2. Identify patterns within sequences, including the rules that connect terms and the relationships among various sequences. 3. Calculate and apply the nth term for the following types of sequences: (a) linear (b) simple quadratic, such as determining the nth term for the sequence 2, 5, 10, 17 (c) simple cubic.
  • The key ideas to know are Calculate, Determine, and State.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineStateWork out

Why it matters

This objective helps connect Sequences outcomes to exam-style questions, flashcards, and revision notes for Sequences.

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Flashcards10 linked cards

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Practice Questions7 linked questions

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Paper 2 structured question: Sequences

Paper 2Core or Extended Mathematics2 marks

Description

Sequence Extension

Given the sequence 1, 3, 6, 10, 15, identify the next two terms.

  1. a

    Calculate the next two terms in the sequence.

    Aim for approximately 2 distinct marking points.

    [2]
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