Results 1 to 2 of 2

Thread: show monotone and bounded by induction

  1. September 26th 2007, 08:33 AM #1
    cowgirl123
    cowgirl123 is offline
    Newbie
    Joined
    Sep 2007
    Posts
    14

    show monotone and bounded by induction

    Suppose { a_n} is defined by a_{n+1}= sqrt(2+ a_n)
    Show by induction that a_n<2.
    Prove the limit.

    a_1=sqrt(2) a_2=sqrt(2+(sqrt(2)))
    Follow Math Help Forum on Facebook and Google+
  2. September 26th 2007, 08:36 AM #2
    red_dog
    red_dog is offline
    MHF Contributor red_dog's Avatar
    Joined
    Jun 2007
    From
    Medgidia, Romania
    Posts
    1,241
    What is a_1 ?
    Follow Math Help Forum on Facebook and Google+
« Need Calculus I Help!!!! | Trapezoidal Rule »

Similar Math Help Forum Discussions

  1. Prove that the sequence is monotone and bounded above
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: January 16th 2012, 06:11 AM
  2. How do you know if a sequence is monotone and bounded?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 6th 2010, 08:49 AM
  3. 2 monotone bounded questions
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 15th 2009, 12:05 PM
  4. Any bounded seq. has a converging subseq. <=> every bounded monotone seq. converges
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: October 12th 2009, 08:43 PM
  5. Cauchy/Monotone--Bounded
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 3rd 2007, 06:21 PM

Search Tags


/mathhelpforum @mathhelpforum