Calculate x^33 Coefficient: Binomial Theorem

[morbello]

use the binomial theorem to determine the coefficient of x^33 in the expansion of (\frac{1}{4}-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

Homework Equations

The Attempt at a Solution

 

[FedEx]

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

 

[morbello]

so is that like 2-11^C_1(x)3 +11^C_2(x)^4 +11^C_3(x)^5 and so on.

 

[FedEx]

it would x^3, x^6,x^9 so on

 

[morbello]

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