Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By Soroban

Math Help - Guess a simple for for P_n for this sequence

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    Chestermere
    Posts
    5

    Exclamation Guess a simple for for P_n for this sequence

    I just need to find the pattern to a), which i am having the hardest time doing.

    P2 = 2/3
    P3 = 5/8
    P4 = 3/5
    P5 = 7/12
    P6 = 4/7
    P7 = 9/16

    Thanks in advance.
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,682
    Thanks
    614

    Re: Guess a simple for for P_n for this sequence

    Hello, hcuk!

    \text{Find the }n^{th}\text{ term: }\:\frac{2}{3},\:\frac{5}{8},\:\frac{3}{5},\:\frac  {7}{12},\:\frac{4}{7},\:\frac{9}{16}

    \text{We have: }\:\begin{array}{c|cccccc}n & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \\[-4mm]  P_n & \frac{4}{6} & \frac{5}{8} & \frac{6}{10} & \frac{7}{12} & \frac{8}{14}& \frac{9}{16}\end{array}

    \text{Therefore: }\:P_n \:=\:\frac{n+3}{2(n+2)}
    Thanks from emakarov
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2013
    From
    Chestermere
    Posts
    5

    Re: Guess a simple for for P_n for this sequence

    Quote Originally Posted by Soroban View Post
    Hello, hcuk!



    \text{We have: }\:\begin{array}{c|cccccc}n & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \\[-4mm]  P_n & \frac{4}{6} & \frac{5}{8} & \frac{6}{10} & \frac{7}{12} & \frac{8}{14}& \frac{9}{16}\end{array}


    \text{Therefore: }\:P_n \:=\:\frac{n+3}{2(n+2)}
    Hello Soroban,
    Thanks for the quick reply,

    I'm just wondering though, shouldn't P1 be 3/4, then P2 be the product fo 3/4 and 8/9.
    Last edited by hcuk; February 27th 2013 at 06:30 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simple geometric sequence question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 29th 2009, 09:36 PM
  2. Limit of a simple sequence
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: September 11th 2009, 06:04 AM
  3. Need Help with simple geometric sequence
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 7th 2008, 05:30 PM
  4. A simple Sequence
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 7th 2008, 11:48 PM
  5. simple sequence question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 20th 2006, 04:50 PM

Search Tags


/mathhelpforum @mathhelpforum