Home
Class 12
MATHS
Integer just greater tehn (sqrt(3)+1)^(2...

Integer just greater tehn `(sqrt(3)+1)^(2n)` is necessarily divisible by (A) `n+2` (B) `2^(n+3)` (C) `2^n` (D) `2^(n+1)`

Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Binomial Theorem Exerciese 7: Subjective Type Questions|6 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25

For each n in N, 3^(2n)-1 is divisible by

If n is a positive integer, then show tha 3^(2n+1)+2^(n+2) is divisible by 7 .

For each n in N, n(n+1) (2n+1) is divisible by

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

If n = (sqrt2 +1)^6 . Then the integer just greater than n is

For all natural number of n, 2^(2n).3^(2n)-1-35n is divisible by

show that [(sqrt(3) +1)^(2n)] + 1 is divisible by 2^(n+1) AA n in N , where [.] denote the greatest integer function .

If n is a positive integer, show that: 3^(2n)-1+24n-32n^2 is divisible by 512 if ngt2

For all n in N , 3xx5^(2n+1)+2^(3n+1) is divisible by a. 19 b. 17 c. 23 d. 25

ARIHANT MATHS ENGLISH-BIONOMIAL THEOREM-Exercise (Subjective Type Questions)
  1. Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...

    Text Solution

    |

  2. Determine the term independent of a in the expansion of ((a+1)/(a^(2/...

    Text Solution

    |

  3. If in the expansion of (1+x)^n ,a ,b ,c are three consecutive coeffici...

    Text Solution

    |

  4. In (3 3+1/(3 3))^n if the ratio of 7th term from the beginning to the ...

    Text Solution

    |

  5. if Sn = C0C1 + C1C2 +...+ C(n-1)Cn and S(n+1)/Sn = 15/4 then n is

    Text Solution

    |

  6. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

    Text Solution

    |

  7. Find the term in(3sqrt(((a)/(sqrt(b))) + (sqrt((b)/ ^3sqrt(a))))^(21) ...

    Text Solution

    |

  8. The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+...

    Text Solution

    |

  9. Prove that if p is a prime number greater than 2, then the difference ...

    Text Solution

    |

  10. Integer just greater tehn (sqrt(3)+1)^(2n) is necessarily divisible by...

    Text Solution

    |

  11. Solve the equation ""^(11)C(1) x^(10) - ""^(11)C(3) x^(8) + ""^(11)...

    Text Solution

    |

  12. If (1 + x)^(n) = C(0) = C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find...

    Text Solution

    |

  13. Evaluate sum(0 le i le j le 10) ""^(21)C(i) * ""^(21)C(j).

    Text Solution

    |

  14. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

  15. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

    Text Solution

    |

  16. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z2+C2z4++C(16)z^(32)t ...

    Text Solution

    |

  17. If for z as real or complex such that (1+z^(2) + z^(4))^(8) = C(0)...

    Text Solution

    |

  18. If a0,a1,a2,.... be the coefficients in the expansion of (1+x+x^2)^n ...

    Text Solution

    |

  19. If a(0), a(1), a(2),… are the coefficients in the expansion of (1 ...

    Text Solution

    |

  20. If a(0), a(1),a(2),… are the coefficients in the expansion of (1 +...

    Text Solution

    |