plumiGeometric sequences and series: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.04.6 Geometric sequences and series, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 9 questions on Geometric sequences and series, as a list
- June 2025, Paper 1, Q3 (6 marks): 3 (a) A sequence has terms u1, u2, u3, … defined by u 3 and u u 5 for n H . 1 1 = = - n 1 n + (i) Find the values of u2, u3 and u4. [2] (ii) Describe the behavi
- June 2025, Paper 2, Q7 (5 marks): An arithmetic progression has first term a and common difference d, where a and d are non-zero. The first, third and fourth terms of the arithmetic progression
- June 2024, Paper 1, Q10 (8 marks): In this question you must show detailed reasoning. The first three terms of a convergent geometric progression are x 2 + , x 3 + and x 9 2 6 - respectively. Det
- June 2022, Paper 3, Q4 (8 marks): The positive integers x, y and z are the first, second and third terms, respectively, of an arithmetic progression with common difference -4. 15 and z are the f
- November 2021, Paper 3, Q3 (5 marks): An arithmetic progression has first term 2 and common difference d, where d 0 . The first, third ! and thirteenth terms of this progression are also the first,
- November 2020, Paper 2, Q3 (7 marks): In this question you should assume that 1 1 x 1 1 . - 2 (a) For the binomial expansion of ( 1 )x - - (i) find and simplify the first four terms, [2] (ii) write
- November 2020, Paper 2, Q13 (8 marks): Andy and Bev are playing a game. • The game consists of three points. • On each point, P(Andy wins) = 0.4 and P(Bev wins) = 0.6. • If one player wins two consec
- June 2019, Paper 1, Q7 (8 marks): In this question you must show detailed reasoning. n A sequence u , u , u f is defined by u 25 0 6 . . = # 1 2 3 n N 3 / / 4 Use an algebraic method to find the
- June 2018, Paper 2, Q12 (11 marks): The discrete random variable X takes values 1, 2, 3, 4 and 5, and its probability distribution is defined as follows. Z a x 1 , = ] ] 1 X x X x x P ( ) [ P ( 1
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.