Home
Class 10
MATHS
Show that n^2-1 is divisible by 8, if n ...

Show that `n^2-1` is divisible by 8, if `n` is an odd positive integer.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

n(n^(2)-1), is divisible by 24 if n is an odd positive number.

Using binomial theorem show that 3^(4n+1)+16n-3 is divisible by 256 if n is a positive integer.

Show that a^(n) - b^(n) is divisible by a – b if n is any positive integer odd or even.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that one and only one out of n , n +1 and n +2 is divisible by 3 , where n is any positive integer.

Show that one and only one out of n,n+4,n+8,n+12 and n+16 is divisible by 5, where n is any positive integer.

Show that one and only one out of n, n + 2, n + 4 is divisible by 3, where n is any positive integer.

Show that one and only one out of n,n+2 or,n+4 is divisible by 3, where n is any positive integer.

RD SHARMA-REAL NUMBERS-All Questions
  1. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  2. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  3. Show that n^2-1 is divisible by 8, if n is an odd positive integer.

    Text Solution

    |

  4. Show that the square of any positive integer is of the form 3m or, ...

    Text Solution

    |

  5. Use Euclids division Lemma to show that the cube of any positive in...

    Text Solution

    |

  6. Prove that the product of two consecutive positive integers is divi...

    Text Solution

    |

  7. For any positive integer n , prove that n^3-n divisible by 6.

    Text Solution

    |

  8. Prove that if a positive integer is of the form 6q+5 , then it is o...

    Text Solution

    |

  9. Prove that the square of any positive integer of the form 5q+1 is o...

    Text Solution

    |

  10. Prove that the square of any positive integer is of the form 4q or ...

    Text Solution

    |

  11. Show that any positive odd integer is of the form 6q+1 or, 6q+3 or,...

    Text Solution

    |

  12. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants ...

    Text Solution

    |

  13. Any contingent of 616 members is to march behind an army band of 32...

    Text Solution

    |

  14. Find the largest number which divides 245 and 1029 leaving remainde...

    Text Solution

    |

  15. In a seminar. the number of participants in Hindi, English and Mathema...

    Text Solution

    |

  16. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  17. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  18. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  19. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  20. Use Euclid’s division algorithm to find the HCF of (i) 135 and 225 ...

    Text Solution

    |