DP Mathematics HL Questionbank

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Directly related questions

• 17N.1.hl.TZ0.11b: By using mathematical induction, prove...
• 12M.1.hl.TZ2.13b: Prove by induction that the ${n^{{\text{th}}}}$ derivative of ${(2x + 1)^{ - 1}}$ is...
• 12N.1.hl.TZ0.12b: Let ${F_n}(x) = \frac{x}{{{2^n} - ({2^n} - 1)x}}$, where $0 \leqslant x \leqslant 1$. Use...
• 08M.1.hl.TZ2.12b: Use mathematical induction to prove that for $n \in {\mathbb{Z}^ + }$...
• 11M.2.hl.TZ2.13A: Prove by mathematical induction that, for \(n \in {\mathbb{Z}^ +...
• 09M.1.hl.TZ2.8: Prove by mathematical induction $\sum\limits_{r = 1}^n {r(r!) = (n + 1)! - 1}$,...
• 09N.1.hl.TZ0.11d: Using mathematical induction, prove...
• SPNone.1.hl.TZ0.12c: Suggest an expression for ${f^{(2n)}}(x)$, $n \in {\mathbb{Z}^ + }$, and prove your...
• 10M.1.hl.TZ1.13: (a)     Show that...
• 10M.1.hl.TZ2.11: (a)     Consider the following sequence of equations.    ...
• 13M.2.hl.TZ2.8: Use the method of mathematical induction to prove that ${5^{2n}} - 24n - 1$ is divisible by 576...
• 11N.1.hl.TZ0.6: Given that $y = \frac{1}{{1 - x}}$, use mathematical induction to prove that...
• 18M.2.hl.TZ2.6: Use mathematical induction to prove that ${\left( {1 - a} \right)^n} > 1 - na$...
• 18M.1.hl.TZ1.6: Use the principle of mathematical induction to prove...
• 16M.1.hl.TZ2.8: Use mathematical induction to prove that $n({n^2} + 5)$ is divisible by 6 for...
• 16M.1.hl.TZ1.12b: Use mathematical induction to prove...
• 16N.1.hl.TZ0.13c: Use the principle of mathematical induction to prove...
• 14M.2.hl.TZ1.7: Prove, by mathematical induction, that ${7^{8n + 3}} + 2,{\text{ }}n \in \mathbb{N}$, is...
• 14M.2.hl.TZ2.13a: Consider $z = r(\cos \theta  + {\text{i}}\sin \theta ),{\text{ }}z \in \mathbb{C}$. Use...
• 13N.1.hl.TZ0.6: Prove by mathematical induction that ${n^3} + 11n$ is divisible by 3 for all...
• 15N.3ca.hl.TZ0.3a: Prove by induction that $n! > {3^n}$, for $n \ge 7,{\text{ }}n \in \mathbb{Z}$.
• 15M.1.hl.TZ1.11b: Prove by induction that...
• 15M.1.hl.TZ2.13c: Prove, by mathematical induction, that...
• 15N.1.hl.TZ0.8b: Consider $f(x) = \sin (ax)$ where $a$ is a constant. Prove by mathematical induction that...
• 14N.1.hl.TZ0.8: Use mathematical induction to prove that...