Chapter 14: Decision Mathematics 2: Recurrence Relations

A-level Further MathsDecision Mathematics 1 & 24 topicsHigher

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Releases 1 August 2026

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Decision Mathematics 2: Recurrence Relations: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

D14-1 Find the required result for Decision Mathematics 2: Recurrence Relations. Given Solve u_{n+2} - 4u_{n+1} + 4u_n = 3n with u_0 = 2, u_1 = 5. Use solve a repeated-root recurrence with a linear particular solution. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

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8 marksshow thathardEdexcel

D14-2 Show that the complementary solution has form (A +

Bn)2^{n}

for Decision Mathematics 2: Recurrence Relations. Start from Solve u_{n+2} - 4u_{n+1} + 4u_n = 3n with u_0 = 2, u_1 = 5. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

D14-3 Determine the requested value in this structured Decision Mathematics 2: Recurrence Relations problem: verify the closed form for n = 0 and n = 1. Use the same data: Solve u_{n+2} - 4u_{n+1} + 4u_n = 3n with u_0 = 2, u_1 = 5. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

D14-4 Hence use the result the complementary solution has form (A +

Bn)2^{n}

to complete the extension for Decision Mathematics 2: Recurrence Relations: verify the closed form for n = 0 and n = 1. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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13. Decision Mathematics 2: Game Theory

End of Decision Mathematics 1 & 2

Key learning objectives

Understand the key principles behind Decision Mathematics 2: Recurrence Relations.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.