Key Concepts in Sequences (nth term)
- Arithmetic sequences
- Finding the nth term of arithmetic sequences
- Geometric sequences
- Quadratic sequences
- Fibonacci-type sequences
Exam Tips for Sequences (nth term)
- 💡For arithmetic sequences: nth term = a + (n−1)d
- 💡Identify the common difference first
- 💡For quadratic sequences, find the second difference to get the n² coefficient
Exam Board Coverage
Sequences (nth term) appears on all major GCSE Maths exam boards at both Foundation and Higher tier.
AQA
Edexcel
OCR
Frequently Asked Questions
How do I find the nth term of an arithmetic sequence?
Find the common difference d. The nth term formula is: nth term = first term + (n−1) × d. Simplify to the form dn + c.
How do I recognise a quadratic sequence?
If the differences between consecutive terms are not constant but the second differences (differences of differences) are constant, it is a quadratic sequence.