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!

Homework Help: How do we get the n th term of the sequence?

  1. Sep 16, 2014 #1
    1. The problem statement, all variables and given/known data

    how do we get the n th term of a sequence if it is given in form of
    ##x_{ n+1 }=f({ x }_{ n })##
    and the p th term is given

    2. Relevant equations
    I figured we may get it if we get it in the form of
    ##x_{ n+1 }-{ x }_{ n }## but how?can we even get it?if yes,under what conditions?
    3. The attempt at a solution
    example: n th term of sequence where
    ##x_{ n+1 }=\frac { { x }_{ n }+\frac { 2 }{ { x }_{ n } } }{ 2 } ##
    where ##{ x }_{ 0 }=1##
    Last edited: Sep 16, 2014
  2. jcsd
  3. Sep 16, 2014 #2


    User Avatar
    Homework Helper

    Non-linear recurrences are unlikely to have solutions in closed form. Iteration is generally the only way to find [itex]x_n[/itex] given [itex]x_0[/itex].
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted