Home
Class 11
MATHS
Using binomial theorem, prove that 2^(3n...

Using binomial theorem, prove that `2^(3n)-7n-1` is divisible by `49` , where `n in Ndot`

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8B|38 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8C|28 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Using binomial theorem, prove that 2^(3n)-7^n-1 is divisible by 49 , where n in Ndot

Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 , where n in Ndot

By using binomial theorem prove that (2^(3n)-7n-1) is divisible by 49 where n is a positive integer.

Using binomial theorem prove that 50^n - 49n - 1 is divisible by 49^2, AA n in N

Using binomial theorem prove that 6^(2n) - 35n - 1 is divisible by 1225, AA n in N

Prove that 3^(2n)+24n-1 is divisible by 32 .

Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 for all positive integers n.

Using principle of MI prove that 2.7^n+3.5^n-5 is divisible by 24

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

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N

NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8A
  1. Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot

    Text Solution

    |

  2. If x= sqrt5+sqrt3 and y = sqrt5-sqrt3, then x^4 -y^4

    Text Solution

    |

  3. Find the values of the following using binomial theorem: (i) 49^(4)...

    Text Solution

    |

  4. By using binomial theorem find which number is greater (1.2)^(3000) " ...

    Text Solution

    |

  5. Prove that Sigma(r=0)^(n) ""^(n)C(r).3^(r)=4^(n)

    Text Solution

    |

  6. If n is a positive integer then find the number of terms in the expans...

    Text Solution

    |

  7. Find the number of terms in the expansion of (1+3x+3x^(2)+x^(3))^(15)

    Text Solution

    |

  8. If (1+x+x^(2))^(n)=1 +a(1)x+a(2)x^(2)+a(3)x^(3) +……..+a(2n).x^(2...

    Text Solution

    |

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

    Text Solution

    |

  10. Expand using binomial theorem: (i) (1-2x)^(4)

    Text Solution

    |

  11. Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6...

    Text Solution

    |

  12. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

    Text Solution

    |

  13. Expand (x+y)^(4)-(x-y)^(4). Hence find the value of (3+sqrt(5))^(4) -(...

    Text Solution

    |

  14. Find the values of the following using binomial theorem: (i) 49^(4)...

    Text Solution

    |

  15. By using binomial theorem find which number is greater (1.2)^(3000) " ...

    Text Solution

    |

  16. Prove that Sigma(r=1) ""^(n)C(r).3^(r)=4^(n)

    Text Solution

    |

  17. If n is a positive integer then find the number of terms in the expans...

    Text Solution

    |

  18. Find the number of terms in the expansion of (1+3x+3x^(2)+x^(3))^(15)

    Text Solution

    |

  19. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

    Text Solution

    |

  20. By using binomial theorem prove that (2^(3n)-7n-1) is divisible by ...

    Text Solution

    |