DP Further Mathematics HL Questionbank

Description

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 \({H_4}\).
• 17M.2.hl.TZ0.3b: Determine the second-degree recurrence relation satisfied by \(\{ {v_n}\} \).
• 17M.2.hl.TZ0.3a.iii: Determine the value...
• 17M.2.hl.TZ0.3a.ii: Given that \({u_1} = 12,{\text{ }}{u_2} = 6\), show...
• 17M.2.hl.TZ0.3a.i: Write down the auxiliary equation.
• 15M.2.hl.TZ0.3b: Solve the recurrence relation.
• 15M.2.hl.TZ0.3a: Show that for \(n \geqslant 2,{\text{ }}{x_n} = 4{x_{n - 1}} - 3{x_{n - 2}}\).
• 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...