plumiFurther sequences and series: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FP.9 Further sequences and series, 2018–2025, with its mark scheme and examiner’s report.
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![June 2025 Extra Pure, question 2: (a) Determine the general solution of the recurrence relation 25 u 35 u 12 u c n , 0 , - + = H n 2 n 1 n + + where c is a constant. [5] The manager of a company](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43501-jun25-02-qp.webp?v=3)
![June 2024 Extra Pure, question 2: (a) Determine the general solution of the recurrence relation u 2 7 u 3 u 0 . [2] - + = n 2 n 1 n + + (b) Using your answer to part (a), determine the general s](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43501-jun24-02-qp.webp?v=3)
All 9 questions on Further sequences and series, as a list
- June 2025, Extra Pure, Q2 (15 marks): (a) Determine the general solution of the recurrence relation 25 u 35 u 12 u c n , 0 , - + = H n 2 n 1 n + + where c is a constant. [5] The manager of a company
- June 2024, Extra Pure, Q2 (12 marks): (a) Determine the general solution of the recurrence relation u 2 7 u 3 u 0 . [2] - + = n 2 n 1 n + + (b) Using your answer to part (a), determine the general s
- June 2023, Extra Pure, Q2 (15 marks): A sequence is defined by the recurrence relation t 4 t 15 n 17 for n H , with t 1 2 . 1 - = + 1 = n n + (a) Solve the recurrence relation to find the particular
- June 2022, Extra Pure, Q1 (7 marks): Three sequences, a , b and c n are defined for n H 1 by the following recurrence relations. , n n ( a 2 2 )( a ) 3 with a 3 1 - - = 1 = n n + 1 b b 3 with b 1 5
- June 2022, Extra Pure, Q3 (9 marks): 3 A sequence is defined by the recurrence relation 5 t 4 t 3 n 28 n 6 , for n H 0, with - = + + n 1 n + t 7 . 0 = (a) Find an expression for tn in terms of n. [
- November 2021, Extra Pure, Q4 (14 marks): The sequence u0, u1, u2, … satisfies the recurrence relation u 3 u 10 u 24 n 10 . - - = - n 2 n 1 n + + (a) Determine the general solution of the recurrence rel
- November 2020, Extra Pure, Q2 (5 marks): t n 2 A sequence is defined by the recurrence relation t for n H , with t 1 8 . 1 = 1 = n 3 n + + a Verify that the particular solution to the recurrence relati
- November 2020, Extra Pure, Q3 (12 marks): A sequence is defined by the recurrence relation u 4 u 5 u for n 0 , with u 0 and = - H 0 = n 2 n 1 n + + 1 = . u 1 1 (a) Find an exact real expression for un i
- June 2019, Extra Pure, Q5 (15 marks): A financial institution models the repayment of a loan to a client in the following way. • An amount, £C, is loaned to the client at the start of the repayment
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