Sequences GCSE questions
nth term and “is this number in the sequence?” questions. Find the difference, then the constant.
Linear
nth term = (difference)n + constant. Use n = 1 to find the constant.
Practice questions
Cover the answers and have a go first. Worked solutions are underneath.
nth term of 5, 9, 13, 17, …
10th term of 2n − 3
Is 40 in the sequence 5n − 1?
Common mistakes
- Using the first term as the coefficient of n.
Answers and working
Frequently asked questions
Quadratic sequences?
Higher: second difference constant. The n² coefficient is (second difference) / 2.
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