Results 1 to 3 of 3

Math Help - binomial theorem!

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    3

    binomial theorem!

    use the binomial theorem to determine the coefficient of x^33 in the expansion of(1/4-2x^3)^17
    Last edited by mr fantastic; June 10th 2009 at 07:00 AM. Reason: Removed excessive !'s from post title.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Twig's Avatar
    Joined
    Mar 2008
    From
    Gothenburg
    Posts
    396
    I think it is:

     (\frac{1}{4})^{17-11}\cdot (-2)^{11} \cdot \binom{17}{11} = -6188

    Not sure though...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by jordan1 View Post
    use the binomial theorem to determine the coefficient of x^33 in the expansion of(1/4-2x^3)^17
    The general term is {17 \choose r} \left( \frac{1}{4} \right)^r (-2 x^3)^{17-r} = {17 \choose r} \left( \frac{1}{4} \right) (-2)^{17-r} x^{51 - 3r}.

    Now substitute the value of r that satisfies 51 - 3r = 33 into {17 \choose r} \left( \frac{1}{4} \right)^r (-2)^{17-r}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. binomial theorem
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 20th 2010, 03:12 PM
  2. Binomial Theorem or Binomial Coefficient
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 2nd 2009, 02:06 PM
  3. Binomial Theorem?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 24th 2009, 09:52 AM
  4. Binomial Theorem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 5th 2009, 03:31 AM
  5. Binomial theorem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 3rd 2008, 01:44 PM

Search Tags


/mathhelpforum @mathhelpforum