Home
Class 11
MATHS
Show that by mathematical induction, 3.5...

Show that by mathematical induction, `3.5^(2n+1) + 2^(3n+1)` is divisible by 17, when `n > =0` is an integer.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 5

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • MODEL QUESTION PAPERS-SET 7

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Prove by mathematical induction , 3^(2n+1)+2^(n+2) is divisible by 7, n in N

Prove by mathematical induction: (3^(4n+1)+2^(2n+2)) is divisible by 7.

Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible by 64 where n in N.

By using mathematical induction prove that 3^(2n)-8n-1 is divisible by 64 when n is an integer.

Prove that by mathematical induction, 4^n+15n-1 is divisible ny 9 when n in N .

Prove the following by the method of mathematical induction. : n^3+(n+1)^3+(n+2)^3 is divisible by 9, when n is a positive integer.

By mathematical induction prove that, (2^(2n)-1) is divisible by 3 where nge1 is an integer.

By principle of mathematical induction show that a^(n)-b^(n) is divisible by a+b when n is a positive even integer.

Using principle of mathematical induction prove that 2^(3n)-1 is divisible by 7 .

Using the principle of mathematical induction prove that 3^(2n+1)+2^(n+2) is divisible by 7 [n in N]

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
  1. If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta),then show thatsin2t...

    Text Solution

    |

  2. In any/\ABC, show that ‘c sin (A-B)/2=(a-b)cos(C/2)

    Text Solution

    |

  3. Show that by mathematical induction, 3.5^(2n+1) + 2^(3n+1) is divisibl...

    Text Solution

    |

  4. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

    Text Solution

    |

  5. The sum of an infinite G.P series is 15 and the sum of the squares of ...

    Text Solution

    |

  6. How many different arrangements be' possible in’EXAMINATION where two ...

    Text Solution

    |

  7. A ray of light comming from (1, 2) to the x axis at A and reflecting w...

    Text Solution

    |

  8. The co-ordinate of the two verties of a trainge are (15, 0) and (0 ,10...

    Text Solution

    |

  9. Find the equation of the concentric- cricle of the circle x^2 + y^2 — ...

    Text Solution

    |

  10. The distance between the point on x axis and (3, 2, —4) is m unit.Find...

    Text Solution

    |

  11. Prove that,lim(nrarrprop)(1^3+2^3+3^3+....+n^3)/n^4=1/4

    Text Solution

    |

  12. If y=(xsinx+cosx)/(xcosx-sinx),then show that dy/dx=x^2/(xcosx-sinx)^2

    Text Solution

    |

  13. If n is a such real number that n>3 .then n^2>9 prove it by the method...

    Text Solution

    |

  14. The mean and SD of 20 items were found to be 12.5 and 2.1 resp.After ...

    Text Solution

    |

  15. Out of 15 articles in a box, three of. them are defective. If 5 articl...

    Text Solution

    |

  16. In /\ABC,if (a^2+b^2)sin(A-B)=(a^2-b^2)sin (A+B),show that the triangl...

    Text Solution

    |

  17. State the fundamental theorem of algebra Solve : ix^2 - x + 12i = 0

    Text Solution

    |

  18. If S be the sum. P be the product,and R the sum of the reciprocals of ...

    Text Solution

    |

  19. Exhibit graphically the solution region of the following system of 'in...

    Text Solution

    |

  20. In quadrilateral PQRS, there are 3, 4, 5, 6 points are taken on PQ. QR...

    Text Solution

    |