Quadratic Sequences & the nth Term (GCSE Higher)

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About Course

Learn to spot a quadratic sequence from its second differences and find its nth term in the form an² + bn + c. Includes several fully worked examples, a quick algebraic method, and how to test whether a number belongs to a sequence.

This course is for general learning and revision. It is written by Tutwoo and is not produced or endorsed by any exam board. Always check your own exam board’s specification and your teacher’s guidance.

What Will You Learn?

  • Tell arithmetic, geometric and quadratic sequences apart Find the nth term of any quadratic sequence Use the nth term to find terms and test whether a number is in the sequence Check answers quickly by substitution

Course Content

Course Lessons

  • Recognising quadratic sequences
  • Finding the nth term
  • Using the nth term and an algebraic shortcut

Sources & Further Reading
The official guidance this course is based on.

Final Assessment

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