Home
Class 11
MATHS
Using mathematical induction prove that ...

Using mathematical induction prove that for every integer `n,|sinnx|le n|sinx|`.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos
  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos
  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|12 Videos
  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Using mathematical induction prove that for every integer nge1,(3^(2^(n))-1) is divisible by 2^(n+2) but not by 2^(n+3) .

Using principle of mathematical induction prove that sqrtn = 2 .

Using principle of mathematical induction, prove that for all n in N, n(n+1)(n+5) is a multiple of 3.

By ........in "Principle of Mathematical Induction" prove that for all n in N 3^n >2^n

Using the principle of mathematical induction , prove that for n in N , (1)/(n+1) + (1)/(n+2) + (1)/(n+3) + "……." + (1)/(3n+1) gt 1 .

If a and b are distinct integers,Using Mathematical Induction prove that a - b is a factor of a^n-b^n , whenever n is a positive integer.

Using mathematical induction prove that (d)/(dx)(x^n)= nx^(n-1) for all positive integers n.

By using mathematical induction prove that 3^(2n)-8n-1 is divisible by 64 when n is an integer.

Prove by mathematical induction that for any positive integer n , 3^(2n)-1 is always divisible by 8 .

Using the principle of mathematical induction ,prove that x^n-y^n is divisible by (x-y) for all n in N .

CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. If ninNN, then by principle of mathematical induction prove that, 3^...

    Text Solution

    |

  2. If ninNN, then by principle of mathematical induction prove that, 7+...

    Text Solution

    |

  3. If ninNN, then by principle of mathematical induction prove that, 1+...

    Text Solution

    |

  4. If ninNN, then by principle of mathematical induction prove that, 1^...

    Text Solution

    |

  5. If ninNN, then by princuple of mathematical induction prove that, (1...

    Text Solution

    |

  6. If ninNN, then by princuple of mathematical induction prove that, (n...

    Text Solution

    |

  7. If ninNN, then by princuple of mathematical induction prove that, n*...

    Text Solution

    |

  8. If ninNN, then by principle of mathematical induction prove that, Pr...

    Text Solution

    |

  9. If ninNN, then by principle of mathematical induction prove that, Us...

    Text Solution

    |

  10. If ninNN, then by princuple of mathematical induction prove that, 2+...

    Text Solution

    |

  11. If ninNN, then by principle of mathematical induction prove that, .^...

    Text Solution

    |

  12. If x and are two real numbers, then prove by mathematical induction th...

    Text Solution

    |

  13. By induction method prove that, (a^(n)+b^(n)) is divisible by (a+b) wh...

    Text Solution

    |

  14. If ninNN and (2*1+1)+(2*2+1)+(2*3+1)+ . . .+(2*n+1)=n^(2)+2n+5 is tr...

    Text Solution

    |

  15. Prove by induction method that n(n^(2)-1) is divisible by 24 when n is...

    Text Solution

    |

  16. Find the positive integer n for which the inequality 2^(n)gtn^(2) is ...

    Text Solution

    |

  17. Prove by the method of mathematica induction that for all ninNN,3^(2n)...

    Text Solution

    |

  18. Prove by induction that 5^(n+1)+4*6^(n) when divided by 20 leaves the ...

    Text Solution

    |

  19. Prove by induction that 2^(2^(n))+1 has 7 in unit's place for all nge2...

    Text Solution

    |

  20. Using mathematical induction prove that for every integer n,|sinnx|le ...

    Text Solution

    |