Results 1 to 3 of 3

Math Help - How to solve/simplify (1/4)^n-1?

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    131

    How to solve/simplify (1/4)^n-1?

    The problem is as follows:

    1/4=64(1/4)^n-1

    The answer is 5...

    (I am working with Arithmetic Sequences.)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: How to solve/simplify (1/4)^n-1?

    So you have the equation:
    \frac{1}{4}=64\cdot \left(\frac{1}{4}\right)^{n-1}
    Write the equation as:
    \frac{1}{4}=\left(\frac{1}{4}\right)^{-3}\cdot \left(\frac{1}{4}\right)^{n-1}
    \Leftrightarrow \frac{1}{4} = \left(\frac{1}{4}\right)^{n-4}

    ...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2008
    Posts
    131

    Re: How to solve/simplify (1/4)^n-1?

    Quote Originally Posted by Siron View Post
    So you have the equation:
    \frac{1}{4}=64\cdot \left(\frac{1}{4}\right)^{n-1}
    Write the equation as:
    \frac{1}{4}=\left(\frac{1}{4}\right)^{-3}\cdot \left(\frac{1}{4}\right)^{n-1}
    \Leftrightarrow \frac{1}{4} = \left(\frac{1}{4}\right)^{n-4}

    ...
    Thank you. You're the man.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solve and Simplify
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 23rd 2010, 04:55 PM
  2. Simplify and solve!!!
    Posted in the Algebra Forum
    Replies: 12
    Last Post: February 23rd 2010, 03:58 AM
  3. please help solve/simplify?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 5th 2009, 04:45 PM
  4. Solve for x & simplify
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 16th 2007, 11:57 AM
  5. Solve,Simplify Signed
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 10th 2007, 03:43 PM

Search Tags


/mathhelpforum @mathhelpforum