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Quadratic Sequences

Revise Quadratic Sequences in Algebra for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

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1

The Basketball Shot

Introduction2

Key Facts

Key Facts3

Quadratic Sequence Structure

Diagram4

Finding the nth Term Formula: The 5-Step Method

Deep Dive5

Worked Example 1: Basketball Heights

Deep Dive6

Worked Example 2: Garden Path Areas

Deep Dive7

Top Tips

Exam Tips

Sample Flashcards

What are second differences?
The differences between the first differences. First differences: 4, 6, 8, 10 Second differences: 2, 2, 2 If second differences are constant, the sequence is quadratic.
What is a quadratic sequence?
A sequence where the second differences between consecutive terms are constant. Example: 2, 5, 10, 17, 26, ... First differences: 3, 5, 7, 9, ... Second differences: 2, 2, 2, ... (constant)

Sample Questions

Which of the following is a property of a quadratic sequence?

  • A. The first differences are constant
  • B. The second differences are constant
  • C. The terms increase by equal amounts each time
  • D. Every term is a perfect square
1 markfoundation

A student says: 'The sequence 3, 7, 13, 21, 31 is quadratic because the first differences increase.' Explain whether the student is correct and how to check properly.

2 marksstandard

12

exam-style questions

22

revision flashcards

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