Download App

Principle of Mathematical Induction Maths - Principle of Mathematical Induction

CBSE - STD 11 Science - Maths (CBSE - English Medium). 30 questions in this chapter.

Question types

Principle of Mathematical Induction question types

30 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

30
Questions
5
Question groups
5
Question types
Sample Questions

Principle of Mathematical Induction questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 3M.C.Q (1 Marks)1 Mark
If $10^n + 3 \times 4^{n+2} + k$ is divisible by $9$ for all $n \in N,$ then the least positive integral value of $k$ is:
  • ✓
    $5$
  • B
    $3$
  • C
    $7$
  • D
    $1$

Answer: A.

View full solution →
Q 85 Marks Questions5 Marks
Use the Principle of Mathematical Induction in the following Exercis.
Prove that $\frac{1}{\text{n}+1}+\frac{1}{\text{n}+2}+\ .....\ +\frac{1}{2\text{n}}>\frac{13}{24},$ for all natural numbers n > 1.
View full solution →
Q 115 Marks Questions5 Marks
Use the Principle of Mathematical Induction in the following Exercis.
Show that $\frac{\text{n}^5}{5}+\frac{\text{n}^3}{3}+\frac{7\text{n}}{15}$ is a natural number for all $\text{n}\in\text{N}.$
View full solution →
Browse all question groups ↑

Generate a Principle of Mathematical Induction paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters