Results 1 to 4 of 4

Math Help - Limit/Sequence

  1. #1
    Junior Member
    Joined
    Feb 2008
    Posts
    26

    Limit/Sequence

    What would be the limit?

    an = -5 + (-2/3)^n


    Also, for the sequence, 1/2,1/4,1/8

    would the formula be 1/2^(n-1)


    And, 1/2,1/4,1/6

    would the formula be 1/2^n ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by ch2kb0x View Post
    What would be the limit?

    an = -5 + (-2/3)^n


    Also, for the sequence, 1/2,1/4,1/8

    would the formula be 1/2^(n-1)


    And, 1/2,1/4,1/6

    would the formula be 1/2^n ?
    \lim_{n \to \infty}(-5+ \underbrace{\left( \frac{-2}{3}\right)^n)}_{r<1,r^n \to 0}=-5+0=-5

    The first is true if you start with n=2.

    The 2nd would be a_n=\frac{1}{2n}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2008
    Posts
    26
    Ohh ok, thanks

    Well what would the formula be if it started at 1/2 as stated.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by ch2kb0x View Post
    Ohh ok, thanks

    Well what would the formula be if it started at 1/2 as stated.
    a_n=\left( \frac{1}{2}\right)^n for n = 1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. limit of sequence
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 28th 2011, 05:09 PM
  2. Replies: 2
    Last Post: October 26th 2010, 10:23 AM
  3. limit of a sequence
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 24th 2010, 05:08 PM
  4. Limit of a Sequence
    Posted in the Differential Geometry Forum
    Replies: 30
    Last Post: March 6th 2010, 09:10 AM
  5. Limit of sequence
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 12th 2008, 03:16 PM

Search Tags


/mathhelpforum @mathhelpforum