DP Further Mathematics HL Questionbank

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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...