This diagram covers Quadratic Sequence Structure 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 3 of 8 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.
Quadratic Sequence Structure
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
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)