1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Linear recurrence = closed form?

  1. Apr 5, 2013 #1

    I've got a recurrence relation: x_n = a*x_(n-1) + b;

    I think I'm going mad trying to figure out a closed form, eg. x(n) = ? the nth iteration

    Is there a trick or something I'm missing?

  2. jcsd
  3. Apr 5, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Try writing out what you get for ##x_1##, ##x_2##, ##x_3## and see what the pattern is. Then take an educated guess and try to prove it by induction.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook