Home
Class 11
MATHS
For every positive integer n, prove that...

For every positive integer n, prove that `7^(n) – 3^(n)` is divisible by 4.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT BANGLISH|Exercise EXERCISE - 4.1|24 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 7|11 Videos
  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

Similar Questions

Explore conceptually related problems

Using binomial theorem for a positive integral index, prove that (2^(3n)-7n-1) is divisble by 49, for any positive integer n.

If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divisible by 9.

Prove that 2.7^(n)+ 3.5^(n)-5 is divisible by 24 for all n in N

Show that, if n be any positive integer greater than 1, then (2^(3n) - 7n - 1) is divisible by 49.

n(gt1) is a positive integer . Show that 14^(n)-13n-1 is divisible by 13 for all n .

Prove that (n !)! is divisible by (n !)^((n-1)!)

If n be a positive integer and P(n):4^(5n)-5^(4n) P(n) is divisible by -

If n is a positive integer (gt1) ,show that , 3^(2n+2)-8n-9 is always divisible by 64.

For any positive integer n,3^(2n)+7 is divisible by 8 . Prove by mathematical induction .

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

NCERT BANGLISH-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. For every positive integer n, prove that 7^(n) – 3^(n) is divisible by...

    Text Solution

    |

  2. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  3. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  4. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  5. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  6. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  7. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  8. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  9. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  10. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  11. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  12. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  13. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  14. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  15. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  16. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  17. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  18. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  19. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  20. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  21. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |