Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quick solution

  1. Apr 9, 2006 #1
    I need to calculate easy solution for following equation.

    x + x^2 + x^3 +.......+ x^n = 1

    I need a simple formula to calculate value of x that satisfies above equation for any value of n.

    This is for accounting/MBA has nothing to do with Physics, but I am sure anyone will be able to help me out.

  2. jcsd
  3. Apr 9, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Using the geometric series identity: [itex]x+x^{2}+...+x^{n}=x\frac{x^{n}-1}{x-1}[/itex]
    we may reformulate your equation to:
    I'm not too sure there exist a nice, general solution of this for arbitrary n.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook