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Is the sequence {n} convergent? (I'm thinking that it is not)

  1. Apr 26, 2012 #1
    1. The problem statement, all variables and given/known data
    Is the sequence {n} convergent?


    2. Relevant equations



    3. The attempt at a solution

    I believe that it is not convergent. I'm thinking that I could show this by a Proof by contradiction, but I am not certain. Am I going down the right route? Thanks.
     
  2. jcsd
  3. Apr 26, 2012 #2
    For:
    [tex] a_n = n [/tex] As [tex] n-> \inf [/tex] clearly this number does not "converge" as it keeps getting bigger.....

    For a proof try showing that a_n+1 is always greater than a_n hence implying that it keep's getting bigger.
     
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