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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


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    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


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

    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

    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!
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