This key facts covers Key Facts within Quadratic Sequences for GCSE Mathematics. Revise Quadratic Sequences in Algebra for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 2 of 8
Practice
12 questions
Recall
22 flashcards
Key Facts
| Term | Definition | Example |
|---|---|---|
| Quadratic Sequence | A sequence where the second differences are constant | 2, 5, 10, 17, 26, 37... |
| First Differences | Differences between consecutive terms | 3, 5, 7, 9, 11... |
| Second Differences | Differences between first differences | 2, 2, 2, 2... |
| nth Term Formula | an² + bn + c | n² + 2n - 1 |
| Coefficient 'a' | Half of the second difference | If 2nd diff = 4, then a = 2 |
Keep building this topic
Read this section alongside the surrounding pages in Quadratic Sequences. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Quadratic Sequences
Which of the following is a property of a quadratic sequence?
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.
Quick Recall Flashcards
12 questions on Quadratic Sequences — practise free
Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.
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