Results 1 to 2 of 2

Thread: Multiple Arithmetic Means

  1. #1
    Mar 2008

    Multiple Arithmetic Means

    The question is "Find four Arithmetic means between .5 and 11.5"
    I don't understand how to start the book doesn't help and had to learn by ourselves over the weekend for test tommorow.
    Also "Find four geometric means between 1/5 and 1/160"
    Thanks in Advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Feb 2008
    Westwood, Los Angeles, CA
    Basically, you're asked in the first one to make an arithmetic sequence that looks like:

    0.5, ___, ___, ___, ___, 11.5

    where each blank will be filled with an arithmetic mean. So, we need to cover 11 units (11.5 - 0.5) by adding the same number 5 times. This means we need to add 11/5 (or 2 1/5) each time. So add 11/5 to the first term to get your first arithmetic mean, then add 11/5 to that to get your next mean, and so on. You should end up at 11.5.

    To find four geometric means, we know that we're going to have to multiply by our common ratio, a, a total of 5 times. So, we know:

    $\displaystyle \frac{1}{5}* a^5 = \frac{1}{160}$.

    Solve for a, find the common ratio, and use that to construct each of your geometric means.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: Dec 14th 2011, 05:02 AM
  2. Arithmetic Means
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: Aug 30th 2011, 12:07 PM
  3. Comparison of Multiple Means
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: Mar 11th 2011, 06:53 PM
  4. Replies: 4
    Last Post: Nov 9th 2010, 01:45 PM
  5. Arithmetic/Geometric Means
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Sep 17th 2006, 11:43 AM

Search tags for this page

Search Tags

/mathhelpforum @mathhelpforum