Results 1 to 5 of 5

Math Help - binomial expansion

  1. #1
    Junior Member
    Joined
    Nov 2007
    Posts
    33

    binomial expansion

    i have to find the first 4 terms of the expansion of
    (1-0.5x)^0.5
    i have to have it in the form (1+x)^n before i can do it don't i? but i cant remember how to do this! any help would be appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Nov 2007
    Posts
    33
    Quote Originally Posted by Oranges&Lemons View Post
    i have to find the first 4 terms of the expansion of
    (1-0.5x)^0.5
    i have to have it in the form (1+x)^n before i can do it don't i? but i cant remember how to do this! any help would be appreciated!
    done it dont worry
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78

    The general binomial series

    The general binomial coeffeint where \alpha is not a natural number is

    {\alpha\choose{k}}:=\frac{\alpha(\alpha-1)...(\alpha-k+1)}{k!}) if k \ne 0


    1+\alpha x+\frac{\alpha(\alpha-1)}{2!}x^2+\frac{\alpha(\alpha-1)(\alpha-2)}{3!}x^3
    Last edited by TheEmptySet; February 24th 2008 at 08:40 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Use {{\alpha}\choose k}
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    13
    Or by writting [math]\binom\alpha k[/tex] yields the same.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Binomial expansion
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: March 6th 2011, 11:20 PM
  2. Binomial Expansion
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: July 10th 2010, 10:00 PM
  3. binomial expansion help?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 15th 2009, 09:21 AM
  4. Binomial expansion
    Posted in the Algebra Forum
    Replies: 4
    Last Post: August 12th 2009, 06:24 AM
  5. Replies: 6
    Last Post: May 1st 2009, 11:37 AM

Search Tags


/mathhelpforum @mathhelpforum