Results 1 to 2 of 2

Math Help - generalised binominal theorem question

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    5

    generalised binominal theorem question

    when ( 1+2x) (1+Ax)^2/3 is expanded in asending powers of x the coefficient of the term n x is zero

    1) find the values of A

    2) when A has this value find the term in x^3 in the expansion of
    ( 1+2x) (1+Ax)^2/3 simplifly the coeeficient
    Last edited by mr fantastic; August 16th 2009 at 08:01 PM. Reason: No edit - just flagging the question as having been moved.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    The binomial expansion of (1+ax)^{\frac{2}{3}} is ...

    (1+ax)^{\frac{2}{3}}= \sum_{n=0}^{\infty} \binom{\frac{2}{3}}{n}\cdot (ax)^{n}= 1 + \frac{2}{3}\cdot a x -\frac{1}{9} (ax)^{2} + \frac{4}{81}\cdot (ax)^{3} - \dots (1)

    At this point the research of the value of a is a pure algebraic practice ...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Interpreting generalised momenta
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: January 15th 2012, 09:01 AM
  2. Simple Binominal Distribution Question
    Posted in the Statistics Forum
    Replies: 4
    Last Post: September 8th 2011, 01:24 AM
  3. generalised pigeonhole principle
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: December 28th 2009, 04:13 AM
  4. How can we use generalised likelihood ratio test to d this?
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 1st 2009, 01:26 AM
  5. [SOLVED] Generalised Linear Models, Deviance
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: August 16th 2006, 02:18 PM

Search Tags


/mathhelpforum @mathhelpforum