SOLUTION: Please help... how to find the constant term in the expansion of (3x- 1/(6x))^14 I got -429/16 somehow. But there should be a formula which I am not sure. Thank you.

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: Please help... how to find the constant term in the expansion of (3x- 1/(6x))^14 I got -429/16 somehow. But there should be a formula which I am not sure. Thank you.       Log On


   



Question 1095050: Please help...
how to find the constant term in the expansion of (3x- 1/(6x))^14
I got -429/16 somehow. But there should be a formula which I am not sure.
Thank you.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Please help...
how to find the constant term in the expansion of (3x- 1/(6x))^14
I got -429/16 somehow. But there should be a formula which I am not sure.
Thank you.
You're perfectly correct. It is -+429%2F16.
1) You have to use the formula for a specific term in a binomial expansion, along with pertinent info to determine the term number at which the Xs will cancel.
2) After finding the term number of the constant, use the term number and the formula for a specific term in a binomial expansion, again, to find the constant.
3) You should get the above: -+429%2F16.
Try it!!