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 7 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 7
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 |