Results 1 to 6 of 6

Math Help - Mth101 Q2_8

  1. #1
    Newbie
    Joined
    Jun 2007
    Posts
    5

    Mth101 Q2_8

    find the sum of series
    ∑(-3/4)^k-1 for k=1 to ∞
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,902
    Thanks
    329
    Awards
    1
    Quote Originally Posted by TAHIR View Post
    find the sum of series
    ∑(-3/4)^k-1 for k=1 to ∞
    Is this
    \sum_{k = 0}^{\infty} \left ( \frac{3}{4} \right ) ^{k - 1}

    or

    \sum_{k = 0}^{\infty} \left [ \left ( \frac{3}{4} \right ) ^k - 1 \right ]

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by topsquark View Post
    Is this
    \sum_{k = 0}^{\infty} \left ( \frac{3}{4} \right ) ^{k - 1}

    or

    \sum_{k = 0}^{\infty} \left [ \left ( \frac{3}{4} \right ) ^k - 1 \right ]

    -Dan
    Am I missing something Dan? Isn't \sum_{k=0}^{ \infty} \left( \frac {3}{4} \right)^{k - 1} = \sum_{k=0}^{ \infty} \left( \frac {3}{4} \right)^{-1} \left( \frac {3}{4} \right)^k = \left( \frac {4}{3} \right) \sum_{k = 0}^{ \infty} \left( \frac {3}{4} \right)^k

    Forgive me if I said something stupid, I'm not fully awake at the moment
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,902
    Thanks
    329
    Awards
    1
    Quote Originally Posted by Jhevon View Post
    Am I missing something Dan? Isn't \sum_{k=0}^{ \infty} \left( \frac {3}{4} \right)^{k - 1} = \sum_{k=0}^{ \infty} \left( \frac {3}{4} \right)^{-1} \left( \frac {3}{4} \right)^k = \left( \frac {4}{3} \right) \sum_{k = 0}^{ \infty} \left( \frac {3}{4} \right)^k

    Forgive me if I said something stupid, I'm not fully awake at the moment
    You aren't missing anything. I'm just asking for clarification on the specific problem. The method used to solve them will be fairly similar. (Though apparently I missed the "-" on the 3/4.)

    -Dan
    Follow Math Help Forum on Facebook and Google+

  5. #5
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by topsquark View Post
    You aren't missing anything. I'm just asking for clarification on the specific problem. The method used to solve them will be fairly similar. (Though apparently I missed the "-" on the 3/4.)

    -Dan
    Ok. Yeah, I see now. apparently it was too early in the morning for me . Yeah, I saw that I left out the minus too, but whatever
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    May 2007
    Posts
    237
    Quote Originally Posted by TAHIR View Post
    find the sum of series
    ∑(-3/4)^k-1 for k=1 to ∞
    It is a geometric series
    Attached Thumbnails Attached Thumbnails Mth101 Q2_8-zzzzz.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. MTH101 Q1_b
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 22nd 2007, 12:20 AM
  2. Mth101 Q1_8
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 20th 2007, 11:52 PM
  3. Mth101 Questio No1
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 20th 2007, 11:04 AM
  4. Mth101 Questio No2
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 20th 2007, 05:28 AM

Search Tags


/mathhelpforum @mathhelpforum