plumiFirst order recurrence relations: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 9.1 First 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.
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All 5 questions on First order recurrence relations, as a list
- 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 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
- 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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