Results 1 to 8 of 8
Like Tree3Thanks
  • 1 Post By chiro
  • 1 Post By emakarov
  • 1 Post By chiro

Math Help - prove or disprove the following. let a1....ar be even integers and let b1....bs be in

  1. #1
    Newbie
    Joined
    Sep 2013
    From
    africa
    Posts
    20

    prove or disprove the following. let a1....ar be even integers and let b1....bs be in

    prove or disprove the following. let a1....ar be even integers and let b1....bs be integers. If r>=s+3 and
    ai>bj for all i and j, then the quotient (a1a2...ar)/(b1b2....bs) is either an even integer or a non-integral rational.

    please need an elaborate answer. quickly
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,163
    Thanks
    761

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    Hey virebbala90.

    If the denominator is all even then the quotient must be even because of that condition (consider ab/c where b is the quotient from a/c).

    Consider then the other consequence where a/c doesn't produce an integer: what has to happen then?
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,561
    Thanks
    785

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    Quote Originally Posted by chiro View Post
    If the denominator is all even then the quotient must be even because of that condition (consider ab/c where b is the quotient from a/c).
    Can you explain this in more detail? I don't understand the hint, and I don't agree with the claim.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Sep 2013
    From
    africa
    Posts
    20

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    a1....ar be +ve even integers and let b1....bs be +ve integers
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,561
    Thanks
    785

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    Consider a_1=a_2=a_3=a_4=2p for some prime number p\ge11 and let b_1=16.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Sep 2013
    From
    africa
    Posts
    20

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    so that disprove the statement. right?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,561
    Thanks
    785

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    Yes.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,163
    Thanks
    761

    Re: prove or disprove the following. let a1....ar be even integers and let b1....bs b

    On the surface it looked good, but thankfully emakarov disproved it and saved me a lot of time .
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. prove or disprove
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: October 2nd 2012, 03:19 AM
  2. Prove or disprove, if H,K<G => HuK<G
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: October 12th 2011, 02:16 AM
  3. Prove or Disprove the Following:
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: September 8th 2010, 06:35 AM
  4. How do I prove/disprove this?
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 7th 2010, 06:00 AM
  5. Prove or Disprove
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: September 13th 2008, 07:10 AM

Search Tags


/mathhelpforum @mathhelpforum