Results 1 to 4 of 4

Math Help - Difference equation

  1. #1
    Newbie
    Joined
    Apr 2011
    Posts
    20

    Difference equation

    Consider s(n)=1+3^3+5^3+...+(2n-1)^3. What first order difference equation does s(n) satisfy?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor alexmahone's Avatar
    Joined
    Oct 2008
    Posts
    1,074
    Thanks
    7
    Quote Originally Posted by bryan06 View Post
    Consider s(n)=1+3^3+5^3+...+(2n-1)^3. What first order difference equation does s(n) satisfy?
    s(n)-s(n-1)=(2n-1)^3
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2011
    Posts
    20
    thank you so much!!but is this the same as S(n)=(2n^2 -1)n^2 because i got this from the answer book but have no clue how to do it...is it possible if you could kindly talk me through some of the steps??thanksss!!

    Quote Originally Posted by alexmahone View Post
    s(n)-s(n-1)=(2n-1)^3
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor alexmahone's Avatar
    Joined
    Oct 2008
    Posts
    1,074
    Thanks
    7
    Quote Originally Posted by bryan06 View Post
    thank you so much!!but is this the same as S(n)=(2n^2 -1)n^2 because i got this from the answer book but have no clue how to do it...is it possible if you could kindly talk me through some of the steps??thanksss!!
    Let's try to prove the general formula for s(n) using induction.



    (Using the difference equation)











    QED
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] difference equation
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: October 20th 2010, 12:26 AM
  2. difference equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 17th 2009, 12:56 PM
  3. difference equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 5th 2009, 01:21 PM
  4. Difference equation
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: January 23rd 2008, 11:12 AM
  5. difference equation
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 15th 2006, 01:31 PM

Search Tags


/mathhelpforum @mathhelpforum