Home
Class 11
MATHS
Prove the following by the principle of ...

Prove the following by the principle of mathematical induction:`\ 2. 7^n+3. 5^n-5` is divisible 25 for all `n in Ndot`

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN|Exercise Exercise 4.1|1 Videos

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|11 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Prove the following by the principle of mathematical induction: 7^(2n)+2^(3n-3)*3^(n-1) is divisible 25 for all n in N

Prove the following by the principle of mathematical induction: 5^(2n+2)-24n-25 is divisible 576 for all n in N.

Prove the following by the principle of mathematical induction: 5^(n)-1 is divisible by 24 for all n in N.

Prove the following by the principle of mathematical induction: 11^(n+2)+12^(2n+1) is divisible 133 for all n in N.

Prove the following by the principle of mathematical induction: x^(2n-1)+y^(2n-1) is divisible by x+y for all n in N.

Prove the following by the principle of mathematical induction: n^(3)-7n+3 is divisible 3 for all n in N.

Prove the following by the principle of mathematical induction: 3^(2n+2)-8n-9 is divisible 8 for all n in N.

Prove the following by the principle of mathematical induction: 3^(n)+7 is divisible by 8 for all n in N.

Prove the following by using the Principle of mathematical induction AA n in N n<2^(n)

Prove the following by using the Principle of mathematical induction AA n in N 2^(3n-1) is divisble by 7.

NAGEEN PRAKASHAN-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise 4
  1. Prove the following by the principle of mathematical induction:\ 2....

    Text Solution

    |

  2. Prove the following by the principle of mathematical induction:\ 7^...

    Text Solution

    |

  3. Prove the following by the principle of mathematical induction: 7+7...

    Text Solution

    |

  4. Prove the following by using the principle of mathematical induction ...

    Text Solution

    |

  5. Using the principle of mathematical induction ,prove that (1+x)^ngeq(1...

    Text Solution

    |

  6. Using binomial theorem, prove that 2^(3n)-7^n-1 is divisible by 49 , w...

    Text Solution

    |

  7. 1+1/(1+2)+1/(1+2+3)+1/(1+2+3+n)=(2n)/(n+1)

    Text Solution

    |

  8. If P(n)= 1. 2 .3+2. 3 .4+....+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4 then P...

    Text Solution

    |

  9. 1. 2 .3+2. 3 .4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4

    Text Solution

    |

  10. 1.3+2.3^2+3.3^3+..............+n.3^n=((2n-1)3^(n+1)+3)/4

    Text Solution

    |

  11. Prove by PMI that 1.2+ 2.3+3.4+....+ n(n+1) =((n)(n+1)(n+2))/3, AA n i...

    Text Solution

    |

  12. 1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3

    Text Solution

    |

  13. 1.2+2.2^2+3.2^3+.....+n.2^n=(n-1)2^(n-1)+2

    Text Solution

    |

  14. 1/2+1/4+1/8+1/16+.......+1/2^n=

    Text Solution

    |

  15. Prove the following by the principle of mathematical induction:1/(2...

    Text Solution

    |

  16. Using the principle of mathematical induction prove that 1/(1. 2. ...

    Text Solution

    |

  17. Prove the following by using the principle of mathematical induction ...

    Text Solution

    |

  18. Prove the following by using the principle of mathematical induction ...

    Text Solution

    |

  19. (1+(1)/1)(1+(1)/(2))(1+(1)/(3))......(1+(1)/n) n(n+1)

    Text Solution

    |

  20. 1^(2)+3^(2)+5^(2)+.......+(2n-1)^(2) =(n(2n-1)(2n+1))/(3)

    Text Solution

    |