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

Math Help - Converging series problem

  1. #1
    Senior Member
    Joined
    Jul 2009
    From
    Melbourne
    Posts
    272
    Thanks
    4

    Converging series problem

    How would I go about proving that this series converges:

    \sum^{\infty}_{n=0} \frac{a_n}{4^n}

    Where  a_n is the sequence 1,2,3,1,2,3,...

    Any pointers would be kindly appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    May 2013
    From
    Czech Republic
    Posts
    28
    Thanks
    1

    Re: Converging series problem

    hi, I would use that  a_n \leq 3 \,,\,\forall n so
    \sum_{n=0}^{\infty}\frac{a_n}{4^n}\leq\sum_{n=0}^{  \infty}\frac{3}{4^n}=3\sum_{n=0}^{\infty}\frac{1}{  4^n}
    Thanks from jgv115
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jul 2009
    From
    Melbourne
    Posts
    272
    Thanks
    4

    Re: Converging series problem

    Wow! You're a genius. So simple!!!

    Thanks a lot alteraus
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. series (converging)
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: January 19th 2011, 02:44 AM
  2. Converging series
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 3rd 2010, 09:58 AM
  3. Converging series help
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 3rd 2010, 03:10 AM
  4. Converging series with factorials
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 20th 2008, 11:04 AM
  5. Converging series
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 12th 2008, 06:08 AM

Search Tags


/mathhelpforum @mathhelpforum