Results 1 to 4 of 4

Math Help - Recursive Definition

  1. #1
    Junior Member
    Joined
    Nov 2007
    Posts
    29

    Recursive Definition

    Question :
    Give a recursive definition (with initital condition(s) of {An} (n=1,2,3 ...)

    An = (n+1)/3

    I am not sure how to type "A sub n" (An) in this editor.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by oldguy View Post
    Question :
    Give a recursive definition (with initital condition(s) of {An} (n=1,2,3 ...)

    An = (n+1)/3

    I am not sure how to type "A sub n" (An) in this editor.
     <br />
A_n=(n+1)/3<br />

     <br />
A_{n-1}=n/3<br />

    so:

    A_n=n/3 + 1/3 = A_{n-1}+1/3

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,547
    Thanks
    539
    Hello, oldguy!

    Give a recursive definition of \{A_n\} with initial conditions.
    . . A_n \:=\:\frac{n+1}{3}
    Crank out the first few terms . . .

    . . A_1 \: = \: \frac{2}{3},\;\;A_2 \:= \:\frac{3}{3},\;\;A_3 \:=\:\frac{4}{3},\;\;A_4 \:=\:\frac{5}{3},\;\;\cdots


    We see that the first term is: . A_1 \:=\:\frac{2}{3}
    . . and each successive term is \;\frac{1}{3} more than its predecessor.


    Therefore: . A_1 = \frac{2}{3}\;\;\text{ and }\;\;A_{n+1} \:=\:A_n + \frac{1}{3}

    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Nov 2007
    Posts
    29
    Thanks, Oldguy
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Recursive Definition
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: October 9th 2011, 04:33 AM
  2. Recursive Definition
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 22nd 2009, 10:55 PM
  3. recursive definition
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: September 21st 2008, 09:51 PM
  4. What is the recursive definition for 1 + (-1)^n?
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: April 6th 2008, 05:45 PM
  5. Recursive definition??
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: January 30th 2008, 02:37 AM

Search Tags


/mathhelpforum @mathhelpforum