Home
Class 11
MATHS
Show that 10^(2n)-1 is divisible by 11 f...

Show that `10^(2n)-1` is divisible by 11 for all `n in N`.

Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 4.1|40 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 4.2|33 Videos

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

Similar Questions

Explore conceptually related problems

Prove that 3^(2n)-1 is divisible by 8.

Show that 5^(2n) -1 is divisible for all n in N by 24.

49^(n)+16n-1 is divisible by

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

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

If ninN,10^(2n-1)+1 is divisible by

By mathematical induction show that 7^(2n)+16n-1 is divisible by 64.

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8 for all n ge 1.

PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. Show that 10^(2n)-1 is divisible by 11 for all n in N.

    Text Solution

    |

  2. 0! Is :

    Text Solution

    |

  3. If n different objects are to placed in m places then the number of wa...

    Text Solution

    |

  4. There are 5 bulbs in a room. Each one of them can be operated independ...

    Text Solution

    |

  5. If 7!/n!=7 then the value of n is:

    Text Solution

    |

  6. If n! + (n-1)! =144, then the value of n is :

    Text Solution

    |

  7. Prove ""^(n)P(r)=""^(n-1)P(r) +r. ""^(n-1)P(r-1)

    Text Solution

    |

  8. ""^(7)C(3) + ""^(7)C(2)=""^(x)C(y) then x and y are:

    Text Solution

    |

  9. If 5 parallel lines intersect another set of 4 , parallel lines (not p...

    Text Solution

    |

  10. 1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :

    Text Solution

    |

  11. If ""^(x^(2)-x)C(7)=""^(x^(2)-x)C(5) then x is :

    Text Solution

    |

  12. A photographer wants to take a photo of 3 students out of 6 students ...

    Text Solution

    |

  13. In 3 fingers, the number of ways five rings can be worn in...............

    Text Solution

    |

  14. There are 8 points in a plane, no three of them are collinear .The num...

    Text Solution

    |

  15. 10 students compete in a race. In how many ways first two prizes be g...

    Text Solution

    |

  16. How many lines can be drawn given six points of which 3 are collinear?

    Text Solution

    |

  17. Find the odd one out:

    Text Solution

    |

  18. Among the following, find which one cannot be no. of digonals of a pol...

    Text Solution

    |

  19. Find the correct statement:

    Text Solution

    |

  20. Find the correct statement:

    Text Solution

    |

  21. Find the incorrect statement:

    Text Solution

    |