Results 1 to 2 of 2

Math Help - Pascal's Triangle

  1. #1
    Junior Member
    Joined
    Oct 2008
    From
    Dallas, TX
    Posts
    71

    Pascal's Triangle

    Suppose b is an integer with b >= 7. Use the Binomial Theorem and the appropriate row of Pascal's triangle to find the base-b expansion of ((11)b)^4 (that is, the fourth power of the number (11)b in base b notation).

    I don't understand what exactly the question is asking. Do I need to write out a particular row of Pascal's triangle? What is meant by the base b notation? No row of Pascal's triangle contains 11^4 = 14641 in it, so what is meant by the fourth power? Thanks much.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,735
    Thanks
    642
    Hello, aaronrj!

    I had to read it twice to catch on . . .


    Suppose b is an integer with b \geq 7.
    Use the Binomial Theorem and the appropriate row of Pascal's triangle
    to find the base-b expansion of (11_b)^4
    (that is, the fourth power of the number 11_b in base b notation).
    We are expected to be familiar with number bases.

    For example, 3104_5 means: 3\!\cdot\!5^3 + 1\!\cdot\!5^2 + 0\!\cdot\!5 + 4\!\cdot\!1 \:=\:104


    Then we see that: . 11_b means: . 1\!\cdot\!b + 1 \;=\;b + 1

    And they are asking for: . (b + 1)^4

    . . Got it?

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Pascal's Triangle APplication
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: November 17th 2009, 03:39 PM
  2. Pascal's triangle
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 4th 2008, 09:37 PM
  3. Pascal's Triangle
    Posted in the Discrete Math Forum
    Replies: 10
    Last Post: May 31st 2007, 07:12 AM
  4. Pascal's theorem and triangle
    Posted in the Statistics Forum
    Replies: 9
    Last Post: March 24th 2007, 10:17 PM
  5. Pascal's Triangle.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 27th 2006, 02:22 PM

Search Tags


/mathhelpforum @mathhelpforum