Home
Class 11
MATHS
Show that the sequence: log a, log ((a^2...

Show that the sequence: `log a, log ((a^2)/b), log(( a^3)/(b^2)) . .` is an A.P.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

Integrate the function (1+log x)^2/(x)

If a,b,c are non-zero and different from 1, then the value of |{:( log _(a) 1 , log _(a) b , log _(a) c ), ( log _(a ) ((1)/(b)), log _(b) 1 ,log_(a) ((1)/(c))), ( log _(a) ((1)/(c)) ,log _(a)c, log _(c) 1):}| is

Prove that log_(3) 2, log_(6) 2 , log_(12)2 are in H.P .

The value of int _(0) ^(1) (dx)/(e ^(x) + e ) is equal to a) (1)/(e) log ((1 + e )/(2)) b) log ((1 + e )/(2)) c) 1/e log (1 + e) d) log ((2)/(1 + e ))

Find int(log (log x)+1/((log x)^2)) d x

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. If S1, S2, S3 are the sum of first n natural numbers, their squares an...

    Text Solution

    |

  2. Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + ...

    Text Solution

    |

  3. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

    Text Solution

    |

  4. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

    Text Solution

    |

  5. Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and a...

    Text Solution

    |

  6. A person writes a letter to four of his friends. He asks each one of t...

    Text Solution

    |

  7. A man deposited Rs. 10000 in a bank at the rate of 5 % simple interest...

    Text Solution

    |

  8. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  9. 150 workers were engaged to finish a job in a certain number of days. ...

    Text Solution

    |

  10. Write the first 'three terms of the sequences whose nth term Tn is giv...

    Text Solution

    |

  11. Show that the sequence: log a, log ((a^2)/b), log(( a^3)/(b^2)) . . is...

    Text Solution

    |

  12. Which term of the sequence 37,32,27,22,... is -103

    Text Solution

    |

  13. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

    Text Solution

    |

  14. The 7^th term of an AP is 34 and the 15^thterm is 74. Find the 40^th t...

    Text Solution

    |

  15. Prove that the product of the 2^ (nd) and 3 rd terms of an A.P.'excee...

    Text Solution

    |

  16. Find the sum of all three digit numbers which leave the remainder 1 wh...

    Text Solution

    |

  17. If the 'sum of first m terms of an A . P. be n and the sum of first n ...

    Text Solution

    |

  18. Insert three A.M.s between 11 and 14

    Text Solution

    |

  19. Find the n^ (th) and 9^ (th) terms of the sequence 3,6,12,24, . .

    Text Solution

    |

  20. For what value of n, the n^ (th) terms of the series " 5+10+20+.........

    Text Solution

    |