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Binomial theorem

  1. May 19, 2009 #1
    use the binomial theorem to determine the coefficient of x^33 in the expansion of ([tex]\frac{1}{4}[/tex]-2x^3)^17

    ive played around with it and come up with 33^C_17
    as a coefficient.am i right in saying that is all the question asks
    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 19, 2009 #2
    You have to find x^33 so the x term should be raised to 11. Cause your x term is x^3 and X^3 power 11 is x^33
     
  4. May 19, 2009 #3
    so is that like 2-11^C_1(x)3 +11^C_2(x)^4 +11^C_3(x)^5 and so on.
     
  5. May 19, 2009 #4
    it would x^3, x^6,x^9 so on
     
  6. May 19, 2009 #5
    in my book it has the largest power on the ^C of C and then the other lower case, is powered up to the sequence it is. in the X^ 3 so the x^3 then x^6 x^9 .what would the largest be the 33 or the 11.

    i was thinking the sequence would start at the x^3
     
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