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

What is the best way to learn sequences/series?

  1. Apr 16, 2013 #1
    I've been doing alright in Calculus II but I can't seem to grasp sequences/series. The different tests like Integral Test, Comparison Test, Ratio/Root Tests also confused me in terms of how to apply them and when to apply them.

    What is the best way for me to master this material? Any good sites or tutorials or basic strategies? For integration I learned it well by practicing integrating different integrals with different techniques, but when I try doing it for series/sequences I get stuck and can't retain the concepts.
  2. jcsd
  3. Apr 16, 2013 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Same as for anything: do lots of examples - and get a personal tutor.
  4. Apr 16, 2013 #3


    User Avatar
    Gold Member

    2 people I always recommend.
    http://www.khanacademy.org/math/calculus/sequences_series_approx_calc [Broken]

    It also helps to play around with things like the Cantor set for fun and to familiarize yourself with the techniques used.
    Last edited by a moderator: May 6, 2017
  5. Apr 16, 2013 #4


    Staff: Mentor

    This should not confuse you if you pay close attention to the theorems where these rules are presented. Each theorem gives the conditions that must be in place to use the theorem, and what you can conclude when you apply the theorem to your series.

  6. Apr 16, 2013 #5
    Do a lot of problems. It is just different from the other calculus stuffs. But as you go higher, there are more and more problems that cannot be solved by traditional integration or differentiations. It often need to be solved by numerical analysis, which is like series and sequence. You are going to encounter much more in Differential Equation and partial differential equation classes. All the Bessels, Legendre etc. are series.

    Understand how the function being replaced by series, but after than, it is really a series that sum power of a variable together. That's the reason they called it numerical analysis!!!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: What is the best way to learn sequences/series?
  1. Sequences and series (Replies: 1)

  2. Series and Sequences (Replies: 4)