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!

Infinite Summation

  1. Sep 5, 2010 #1
    1. The problem statement, all variables and given/known data

    "A notation that you may find helpful in this task is the factorial notation n!, defined by
    n!=n(n-1)(n-2)….3 x 1 x 1 e.g. n!=5 x 4 x 3 x 2 x 1(=120) Note that 0!=1

    Consider the following sequence of terms where x = 1 and a = 2.
    1, ((ln2))/1, ((ln2)^2 )/(2 x 1), ((ln2)^3)/(3 x 2 x 1) ….

    Calculate the sum S_n of the first n terms of the above sequence for 0≤n≤10. Give your answers correct to six decimal places."

    How do i solve this? My teacher gave this to us without telling us what to do or any way of solving it. Can u help me solve this?
    I tried searching the net, scanned my book but i could not find any part which could help me. this is my first time tackling a math problem like this and i have no clue on solving it. thanks
     
    Last edited: Sep 5, 2010
  2. jcsd
  3. Sep 5, 2010 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    What's there to solve? The problem just asks you to calculate some sums.
     
  4. Sep 5, 2010 #3
    uhm i dont know wer to start calculating for the problem :(
     
  5. Sep 5, 2010 #4

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    If you have a sequence {an}, you can form a new sequence:

    [tex]\begin{align*}
    S_0 &= a_0 \\
    S_1 &= a_0+a_1 \\
    S_2 &= a_0+a_1+a_2 \\
    &\vdots \\
    S_n &= a_0+\cdots+a_n
    \end{align*}[/tex]

    The Sn's are called partial sums. The problem is asking you to calculate the first 11 sums for the given sequence.
     
  6. Sep 5, 2010 #5
    i see... its only the first part of the question though and theres more.. but thanks for the help!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Infinite Summation
  1. Infinite Summations (Replies: 16)

  2. Infinite Summations (Replies: 1)

  3. Infinite Summation (Replies: 8)

  4. Infinite Summation (Replies: 25)

Loading...