Results 1 to 2 of 2

Math Help - Sequence Question

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    40

    Sequence Question

    We define a sequence recursively in the following way.

    s_1=2

    and

    s_n=\sqrt{3+2_{s_{n-1}}} for n>1

    1. Show that {s_n} is an increasing sequence.
    2. show that {s_n} is bounded from above
    3.Compute \lim_{n\rightarrow \infty} of s_n
    Last edited by jpatrie; October 14th 2008 at 10:10 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,386
    Thanks
    1476
    Awards
    1
    Do this by induction.
    s_K  < s_{K + 1}  \Rightarrow \quad s_{K + 1}  < s_{K + 2} <br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sequence question
    Posted in the Number Theory Forum
    Replies: 6
    Last Post: May 6th 2009, 02:47 PM
  2. sequence question
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 29th 2009, 02:27 PM
  3. tell me the sequence in the below question;
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: April 14th 2009, 09:14 PM
  4. sequence question
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 12th 2009, 12:27 AM
  5. Sequence question
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 1st 2008, 09:21 PM

Search Tags


/mathhelpforum @mathhelpforum