plumiSecond order recurrence relations: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 9.2 Second order recurrence relations, 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.
All papers
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 PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 11 questions on Second order recurrence relations, as a list
- June 2025, Further Pure 2, Q4 (9 marks): A sequence is defined by un+2 = 6un+1 – 8un n 1 u1 = 399.6 u2 = 798.4 (a) Prove by induction that, for n ∈ un = 200(2 n) – 1 10 (4 n) (6) (b) Hence determin
- June 2024, Further Pure 2, Q2 (5 marks): Determine a closed form for the recurrence system u n u u u u n n n 1 2 2 1 4 6 6 9 1 2 3 ( , , , ) (5)
- June 2024, Decision 2, Q8 (8 marks): A sequence {un}, where n 0, satisfies the recurrence relation 2 5 3 8 2 2 1 u u u n n n n (a) Find the general solution of this recurrence relation. (5) A par
- June 2023, Further Pure 2, Q6 (7 marks): Determine a closed form for the recurrence relation u u u u u n n n n n 0 1 2 1 1 0 4 2 4 3 (7)
- June 2023, Decision 2, Q5 (8 marks): A sequence un ,where n 0, satisfies the second order recurrence relation u u u n n n 2 1 1 2 3 where u u 0 1 15 20 = = (a) By considering the sequence vn , whe
- June 2022, Further Pure 2, Q6 (6 marks): (a) Determine the general solution of the recurrence relation u n = 2u n – 1 – u n – 2 + 2n n 2 (4) (b) Hence solve this recurrence relation given that u0 = 2
- June 2022, Decision 2, Q2 (4 marks): The general solution of the second order recurrence relation un + 2 + k1un + 1 + k2un = 0 n 0 is given by un = (A + Bn)(–3)n where A and B are arbitrary non‑z
- November 2020, Further Pure 2, Q2 (9 marks): Solve the recurrence system u1 = 1 u2 = 4 9un + 2 – 12un + 1 + 4un = 3n (9)
- November 2020, Decision 2, Q4 (8 marks): The complementary function for the second order recurrence relation un + 2 + αun + 1 + βun = 20 (−3) n n 0 is given by un = A (2) n + B (−1) n where A and B a
- June 2019, Further Pure 2, Q3 (8 marks): The number of visits to a website, in any particular month, is modelled as the number of visits received in the previous month plus k times the number of visits
- June 2019, Decision 2, Q5 (11 marks): An increasing sequence {un} for n ` is such that the difference between the nth term of {un} and the mean of the previous two terms of {un} is always 6 (a) Sh
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Edexcel A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.