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Contents
- Whole Topic Notes
- 4A Forming Recurrence Relations
- 4B Solving First-Order Recurrence Relations
- 4C Solving Second-Order Recurrence Relations*
- 4D Proving Closed Forms
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Further Pure 2 Recurrence Relations Section
4A Forming Recurrence Relations
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Key Skills
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4B Solving First-Order Recurrence Relations
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Key Skills
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- 807b: Solve a first-order homogeneous linear recurrence relation given in the form u_n = au_{n-1}
- 807c: Solve a first-order non-homogeneous linear recurrence relation given in the form u_n = u_{n-1} + g(n)
- 807d: Solve a first-order non-homogeneous linear recurrence relation given in the form u_n = au_{n-1} + g(n)
- 807: Exam Practice: Solutions of first-order recurrence relations
4C Solving Second-Order Recurrence Relations*
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Key Skills
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- 808a: Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has distinct real roo
- 808b: Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has repeated roots.
- 808c: Determine the general or particular solution to a second-order homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} where the auxiliary equation has complex roots.
- 808d: Solve a second-order non-homogeneous linear recurrence relation given in the form u_n = au_{n-1} + bu_{n-2} + g(n)
4D Proving Closed Forms
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost