Results 1 to 7 of 7

Math Help - sequences

  1. #1
    Senior Member euclid2's Avatar
    Joined
    May 2008
    From
    Ottawa, Canada
    Posts
    400
    Awards
    1

    sequences

    determine t3,t5,and t10 for the sequences

    a) tn=(2n-1)squared
    b) tn=3n-1-2
    c) tn= (n-1)/(2n-1)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Quote Originally Posted by euclid2 View Post
    determine t3,t5,and t10 for the sequences

    a) tn=(2n-1)squared
    Just substitute n=3, 5 and 10.

    For example t_{\color{red}5}=(2*{\color{red}5}-1)^2=(10-1)^2=81

    b) tn=3n-1-2
    Are you sure it is this writing ? o.O

    c) tn= (n-1)/(2n-1)
    For example :
    t_{\color{red}3}=\frac{{\color{red}3}-1}{2*{\color{red}3}-1}=\frac{2}{6-1}=\frac 25

    Is it clear ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member euclid2's Avatar
    Joined
    May 2008
    From
    Ottawa, Canada
    Posts
    400
    Awards
    1
    For b, it is not written like that, the n-1 is small in the right hand corner as if an exponent
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    Aug 2008
    Posts
    530
    [quote=euclid2;186590]determine t3,t5,and t10 for the sequences

    a) tn=(2n-1)squared

     {\text{General term, }}t_n  = \left( {2n - 1} \right)^2  \hfill \\

     {\text{Now, for }}t_3 {\text{  put }}n = 3, \hfill \\

    <br />
  t_3  = \left( {2 \times 3 - 1} \right)^2  = 5^2  = 25 \hfill \\

     {\text{Now, for }}t_5 {\text{  put }}n = 5, \hfill \\

    t_5  = \left( {2 \times 5 - 1} \right)^2  = 9^2  = 81 \hfill \\

    {\text{Now, for }}t_{10} {\text{  put }}n = 10, \hfill \\

    t_{10}  = \left( {2 \times 10 - 1} \right)^2  = 19^2  = 361 \hfill \\ <br />
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member euclid2's Avatar
    Joined
    May 2008
    From
    Ottawa, Canada
    Posts
    400
    Awards
    1
    Thanks, I'm unsure of how to do b) since there is the exponent n-1
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Quote Originally Posted by euclid2 View Post
    For b, it is not written like that, the n-1 is small in the right hand corner as if an exponent
    Please use ^ for an exponent

    b) ~t_n=3^{n-1}-2 ?

    t_{10}=3^{10-1}-2=3^9-2=19681
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Banned
    Joined
    Aug 2008
    Posts
    530
    [quote=euclid2;186590]determine t3,t5,and t10 for the sequences


    b) tn=3^{n-1} - 2

    {\text{General term, }}t_n  = 3^{n - 1}  - 2 \hfill \\

    {\text{Now, for }}t_3 {\text{  put }}n = 3, \hfill \\

    t_3  = 3^{3 - 1}  - 2 = 3^2  - 2 = 9 - 2 = 7 \hfill \\

    {\text{Now, for }}t_5 {\text{  put }}n = 5, \hfill \\

     t_5  = 3^{5 - 1}  - 2 = 3^4  - 2 = 81 - 2 = 79 \hfill \\

    {\text{Now, for }}t_{10} {\text{  put }}n = 10, \hfill \\

    t_{10}  = 3^{10 - 1}  - 2 = 3^9  - 2 = 19683 - 2 = 19681 \hfill \\ <br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Convergence in sequences of sequences
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: October 19th 2010, 08:28 AM
  2. Sequences and the sequences' arithmetics
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 6th 2010, 10:31 PM
  3. Monotone sequences and Cauchy sequences
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 21st 2009, 09:59 PM
  4. Sequences Q3
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 9th 2009, 06:08 AM
  5. Replies: 5
    Last Post: January 16th 2008, 05:51 PM

Search Tags


/mathhelpforum @mathhelpforum