DP Further Mathematics HL Questionbank
Recurrence relations. Initial conditions, recursive definition of a sequence.
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[N/A]Directly related questions
- 18M.1.hl.TZ0.12a: Solve the recurrence relation \({u_n} = 4{u_{n - 1}} - 4{u_{n - 2}}\) given that...
- 16M.2.hl.TZ0.5c: (i) Find an expression for \({w_n}\) in terms of \(n\). (ii) Show that \({w_{3n}} = 0\)...
- 16M.2.hl.TZ0.5b: The sequence \(\{ {v_n}:n \in {\mathbb{Z}^ + }\} \) satisfies the recurrence relation...
- 16M.2.hl.TZ0.5a: (i) Find an expression for \({u_n}\) in terms of \(n\). (ii) Show that the sequence...
- 16M.1.hl.TZ0.6c: Prove by mathematical induction that your formula is valid for all \(n \in {\mathbb{Z}^ + }\).
- 16M.1.hl.TZ0.6b: Conjecture a formula for \({H_n}\) in terms of \(n\), for \(n \in {\mathbb{Z}^ + }\).
- 16M.1.hl.TZ0.6a: Find \({H_2}\), \({H_3}\) and \({H_4}\).
- SPNone.1.hl.TZ0.13: A sequence \(\left\{ {{u_n}} \right\}\) satisfies the recurrence relation...
- 14M.2.hl.TZ0.6: (a) Consider the recurrence relation \(a{u_{n + 1}} + b{u_n} + c{u_{n - 1}} = 0\). Show that...
