Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Infinite series

  1. Aug 3, 2008 #1
    I am getting into this topic and I am having a hard time conceptualizing it. Is there anybody that can spend a minute letting me know the "reality" to infinite series? By that I mean, please explain infinite series in such a way that a beginner like me will be able to take what you said and apply it to home work problems. Thanks and if I am asking too much I understand because this is a deep topic
  2. jcsd
  3. Aug 3, 2008 #2


    User Avatar
    Science Advisor
    Gold Member

    I don't know what you mean by reality. However a simple example is:

    1 + 1/2 + 1/4 + 1/8 +1/16 + etc. where you never stop. As a result it adds up to 2.
  4. Aug 3, 2008 #3
    You can think of this as taking half a step as you did last step. Your first step is of 1 unit, so next step is 1/2, next one 1/4 and so on. The question is how much distance can you travel using this method and that is 2. You cannot exceed 2 units of distance by using this mode of transportation.
  5. Aug 4, 2008 #4
    T_n = ar^{n-1}

    r < 1

    S_n = \frac{a(1-r^n)}{1-r}

    n \rightarrow \infty

    r^n \rightarrow 0

    S_\infty = \frac{a}{1-r}
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Infinite series
  1. Infinite series (Replies: 12)

  2. Infinite series (Replies: 4)

  3. Infinite Series (Replies: 6)

  4. Infinite Series (Replies: 4)