Home
Class 11
MATHS
Prove by the principle of mathematical i...

Prove by the principle of mathematical induction that.`4^n+15n-1`is a mulitple of 9 for all `n in N`.

Promotional Banner

Topper's Solved these Questions

  • JODHPUR PARK BOYS'S SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|41 Videos

  • Kalidhan Institution, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |23 Videos

Similar Questions

Explore conceptually related problems

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 .

For all ninNN , prove by principle of mathematical induction that, 4^(n)+15n-1 is a multiple of 9.

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction ,prove that x^n-y^n is divisible by (x-y) 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 Ndot

By the principle of mathematical induction prove that (5^(2n)-1) is always divisible by 24 for all positive integral values of n.

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

For all ninNN , prove by principle of mathematical induction that, 12^(n)+25^(n-1) is divisible by 13.

By the principle of mathematical induction prove that 1+2+3+4+…n= (n(n+1))/2

If ninNN , then by principle of mathematical induction prove that, 3^(4n+1)+2^(2n+2)" "[nge0] is a multiple of 7.

UNITED BOOK HOUSE-KALIDHAN INSTITUTION-EXERCISE
  1. sinalpha+sinbeta=aand cosalpha+cosbeta=bprove that ,tan((alpha-beta)/2...

    Text Solution

    |

  2. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

    Text Solution

    |

  3. Prove by the principle of mathematical induction that.4^n+15n-1is a mu...

    Text Solution

    |

  4. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

    Text Solution

    |

  5. In a machine,there is a password of five characters of which the first...

    Text Solution

    |

  6. If the term independetn of x in the expansion of (k/3x^2-3/(2x))^9be 2...

    Text Solution

    |

  7. Find the sum :3.1^2+4.2^2+5.3^2+....upto n terms.

    Text Solution

    |

  8. A straight line passes through the point (2,3) and is such that the po...

    Text Solution

    |

  9. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

    Text Solution

    |

  10. The sum of the distances of a moving point from the points (c,0)and (-...

    Text Solution

    |

  11. If the sum of first n terms of a G.P is p and the sum of the first 2n ...

    Text Solution

    |

  12. The roots of the equation x^2+3x+4=0are alphaand beta.Form the equati...

    Text Solution

    |

  13. Foe any two events A and B prove that ,P(A)geP(AcapB)geP(A)+P(B)-1

    Text Solution

    |

  14. Two fair dice are thrown simultaneously .The two scores are then multi...

    Text Solution

    |

  15. Find the maximum and minimum values of 3sintheta+4costheta+5

    Text Solution

    |

  16. Find the locus of a point which forms a triangle of area 21 square uni...

    Text Solution

    |

  17. Show that sin16^@+cos16^@=1/sqrt2(sqrt3cos1^@+sin1^@)

    Text Solution

    |

  18. Sin A=m sin B,show that ,tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

    Text Solution

    |

  19. Exhibit graphically the solution sets of the following system of linea...

    Text Solution

    |

  20. State the fundamental theorem of algebra.solve the following in the co...

    Text Solution

    |