Home
Class 12
MATHS
For all n in N, n^(3)+2n is divisible b...

For all `n in N, n^(3)+2n` is divisible by

A

3

B

8

C

9

D

11

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

For all n in N , 4^(n)-3n-1 is divisible by

For all n in N, 7^(2n)-48n-1 is divisible by

For all n in N, 3^(3n)-26^(n)-1 is divisible by

Prove the following by using the principle of mathematical induction for all n in N : 10^(2n-1)+1 is divisible by 11.

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

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

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

If n in N , then 3^(2n)+7 is divisible by

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

Prove by the principle of induction that for all n N ,\ (10^(2n-1)+1) is divisible by 11.

OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL INDUCTION -Exercise
  1. For all n in N, 7^(2n)-48n-1 is divisible by

    Text Solution

    |

  2. Prove the following by the principle of mathematical induction:\ 5^...

    Text Solution

    |

  3. For all n in N, n^(3)+2n is divisible by

    Text Solution

    |

  4. For all n in N, 4^(n)-3n-1 is divisible by

    Text Solution

    |

  5. For all n in N, 3^(3n)-26^(n)-1 is divisible by

    Text Solution

    |

  6. If n in N, then 3^(2n)+7 is divisible by

    Text Solution

    |

  7. For all n in N, 3n^(5) + 5n^(3) + 7n is divisible by

    Text Solution

    |

  8. Find the sum of first n terms of the following series: 3+7+13+21+31+ d...

    Text Solution

    |

  9. n^(th) term of the series 4+14+30+52+ .......=

    Text Solution

    |

  10. 3 + 13 + 29 + 51 + 79+… to n terms =

    Text Solution

    |

  11. Find the sum of the following series to n term: 1^3+3^3+5^3+7^3+ dot

    Text Solution

    |

  12. If 10^(n)+3*4^(n+2) + is divisible by 9, for all ninN, then the least ...

    Text Solution

    |

  13. If x^n-1 is divisible by x-k then the least positive integral value of...

    Text Solution

    |

  14. If a,b are distinct rational numbers, then for all n in N the number a...

    Text Solution

    |

  15. If n is an odd positive integer, then a^(n)+b^(n) is divisible by

    Text Solution

    |

  16. If n is an even positive integer, then a^(n)+b^(n) is divisible by

    Text Solution

    |

  17. For all n in N, (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is

    Text Solution

    |

  18. The sum of n terms of the series 1+(1+a)+(1+a+a^(2))+(1+a+a^(2)+a^(...

    Text Solution

    |

  19. If 3+5+9+17+33+… to n terms =2^(n+1)+n-2, then nth term of LHS, is

    Text Solution

    |

  20. Using mathematical induction , to prove that 7^(2n)+2^(3n-3). 3^(...

    Text Solution

    |