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!

Determine this sequence increasing or decreasing

  1. May 7, 2012 #1
    A sequence (an) is recursively defined by a1 = 1 and
    an+1 =1 /(2+an ) for all n≥1

    I'll prove this sequence is convergent by monoton sequence theorem.ı can find ıt is bounded but ı cannot decide it is monoton because when ı write its terms,Its terms are increasing sometimes decreasing sometimes.

    How can ı prove it is increasing or decreasing?
     
  2. jcsd
  3. May 7, 2012 #2
    For what value of an would it be stationary, ie. an+1 = an?
     
  4. May 7, 2012 #3
    Do an+1-an and you'll have to combine it into one fraction and then do some factoring and you'll see if it's decreasing or increasing.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Determine this sequence increasing or decreasing
Loading...