GCSE Maths, Unit 13, Lesson 5 of 5
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Quadratic sequences

GCSE Maths, Sequences, 25 minutes

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When the differences change by the same amount each time, the nth term has an n² term. Find it.

Second differences

  1. 4, 9, 16, 25, 36, ...
  2. first differences: 5, 7, 9, 11
  3. second difference: 2

A constant second difference means a quadratic sequence. The n² coefficient is half the second difference.

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