Results 1 to 2 of 2

Math Help - Binomial Theorem Chapter

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    3

    Binomial Theorem Chapter

    I am taking Gr 12 Data Management online and am really struggling to understand this chapter. One of the questions is:

    The first three terms in the expansion of (1+ay)^n are 1, 12y, and 68y^2. Evaluate a and n. Use the fact that

    (1+ay)^n=1+nay+(n(n-1)/2)(ay)^2+...


    I have gone over my notes and the text and dont know how go about evaluating for a and n. Any help would be greatly appreciated! Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jun 2009
    Posts
    220
    Thanks
    1
    Quote Originally Posted by shell View Post
    I am taking Gr 12 Data Management online and am really struggling to understand this chapter. One of the questions is:

    The first three terms in the expansion of (1+ay)^n are 1, 12y, and 68y^2. Evaluate a and n. Use the fact that

    (1+ay)^n=1+nay+(n(n-1)/2)(ay)^2+...


    I have gone over my notes and the text and dont know how go about evaluating for a and n. Any help would be greatly appreciated! Thanks in advance

    So you have

    nay = 12 y and so na = 12,

    and

    \frac{n(n-1)(ay)^2}{2} = 68y^2 and so \frac{n(n-1)a^2}{2} = 68.

    Giving you 2 equations in two unknowns, na = 12 gives a=\frac{12}{n}, substitute this into the second equation and solve for n.

    Hope this helps.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: March 9th 2010, 12:36 PM
  2. binomial theorem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 20th 2010, 04:18 PM
  3. binomial theorem help
    Posted in the Number Theory Forum
    Replies: 5
    Last Post: October 9th 2009, 04:25 AM
  4. Binomial Theorem or Binomial Coefficient
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 2nd 2009, 02:06 PM
  5. Prove theorem: In FLT chapter
    Posted in the Number Theory Forum
    Replies: 0
    Last Post: May 19th 2009, 07:09 AM

Search Tags


/mathhelpforum @mathhelpforum