Results 1 to 3 of 3

Math Help - Calc 2 Sequence

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    10

    Calc 2 Sequence

    Can anyone lend me a hand

    Write the first 5 terms of the sequence

    an = 3n!/(n-1)!

    Find the limit of the sequence if the limit exists

    an = (n-2)!/n!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by poopforbrains View Post
    Find the limit of the sequence if the limit exists

    an = (n-2)!/n!
    \frac{(n-2)!}{n!} = \frac{(n-2)!}{n(n-1)(n-2)!} = \frac{1}{n(n-1)}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,738
    Thanks
    644
    Hello, poopforbrains!

    Write the first 5 terms of the sequence: . a_n \:= \:\frac{3n!}{(n-1)!}

    You're in Calculus 2 and you can't plug in values ??

    . . a_1 \: = \: \frac{3\cdot\!1!}{0!} \: = \: 3\cdot1 \: = \: 3

    . . a_2 \: = \: \frac{3\!\cdot\!2!}{1!} \: = \: 3\cdot2 \: = \: 6

    . . a_3 \: = \: \frac{3\!\cdot\!3!}{2!} \: = \: 3\cdot3 \: = \: 9

    . . a_4 \: = \: \frac{3\!\cdot\!4!}{3!} \: = \: 3\cdot4 \: = \: 12

    . . a_5 \: = \: \frac{3\!\cdot5!}{4!} \: = \: 3\cdot5 \: = \: 15



    Find the limit of the sequence if the limit exists
    . . a_n \:= \:\frac{(n-2)!}{n!}

    We have: . a_n \;=\;\frac{(n-2)!}{n(n-1)(n-2)!} \;=\;\frac{1}{n(n-1)}

    Hence: . \lim_{n\to\infty}\,\frac{1}{n(n-1)} \;=\;0

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: October 17th 2011, 10:32 PM
  2. A few Pre-Calc problems in my AP Calc summer packet
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 30th 2010, 03:40 PM
  3. linear sequence + pre calc
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 13th 2010, 04:54 PM
  4. Replies: 1
    Last Post: January 13th 2010, 11:57 AM
  5. Pre-calc-arithmetic sequence
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 8th 2009, 04:07 PM

Search Tags


/mathhelpforum @mathhelpforum