Results 1 to 3 of 3

Math Help - [SOLVED] Binomial Theorem help...

  1. #1
    Member looi76's Avatar
    Joined
    Jan 2008
    Posts
    185

    [SOLVED] Binomial Theorem help...

    Question:
    Expand (3+5x)^7 in ascending powers of x up to and including the term in x^2. By putting x=0.01, find an approximation, correct to the nearest whole number, to 3.05^7.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,857
    Thanks
    321
    Awards
    1
    Quote Originally Posted by looi76 View Post
    Question:
    Expand (3+5x)^7 in ascending powers of x up to and including the term in x^2. By putting x=0.01, find an approximation, correct to the nearest whole number, to 3.05^7.
    You've asked for help on a few of these now. What part of it is confusing you? Tell us so we can help you better.
    (3 + 5x)^7 = \sum_{k = 0}^7 {7 \choose k} (3)^{7 - k}(5x)^k = 3^7 + 7 \cdot (3)^6 (5x)^1 + ~...

    You tell me what the next term is.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    Ultimately, in that approximation of 3.05^7, you will have to calculate some (.01a)^b for seven different sets of a and b.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Application of Binomial theorem?
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 27th 2009, 09:51 PM
  2. [SOLVED] Binomial Theorem(Sum of series)?
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: April 23rd 2009, 06:18 AM
  3. [SOLVED] binomial theorem =(
    Posted in the Discrete Math Forum
    Replies: 12
    Last Post: February 17th 2009, 06:23 AM
  4. [SOLVED] Binomial Theorem help...
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 1st 2008, 07:37 AM
  5. [SOLVED] Binomial Theorem question...
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 1st 2008, 06:26 AM

Search Tags


/mathhelpforum @mathhelpforum