Results 1 to 3 of 3

Math Help - Multiple Choice

  1. #1
    Senior Member slevvio's Avatar
    Joined
    Oct 2007
    Posts
    347

    Multiple Choice

    Let \{a_n\} be a sequence of positive terms. Which of the following statements is a deduction from :

    the sequence \{a_n\} is not summable:

    (A)  \forall M > 0 \exists N \in \mathbb{N} such that  a_N > M .
    (B)  a_n \not\rightarrow 0
    (C)  \forall n \in \mathbb{N} \frac{a_{n+1}}{a_n} \le 1.
    (D)  \forall M>0 \exists N \in \mathbb{N} such that \sum_{i=1}^{N} a_i > M .
    (E) None of the above.

    any help would be apprecaiated - i dont think it can be B or C
    Last edited by Plato; April 24th 2009 at 10:04 AM. Reason: Fix LaTeX
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,969
    Thanks
    1788
    Awards
    1
    Does the sequence \left\{ {1,\frac{1}{2},\frac{1}{3}, \cdots ,\frac{1}{n}, \cdots } \right\} meet the conditions of this question?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member slevvio's Avatar
    Joined
    Oct 2007
    Posts
    347
    Is the answer D) ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Multiple choice
    Posted in the Statistics Forum
    Replies: 4
    Last Post: June 4th 2010, 03:31 PM
  2. Multiple Choice
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: January 22nd 2010, 05:28 AM
  3. Multiple Choice Help
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: September 13th 2009, 09:57 PM
  4. Multiple Choice!
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 4th 2009, 01:46 PM
  5. Multiple choice
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: February 23rd 2008, 09:37 PM

Search Tags


/mathhelpforum @mathhelpforum