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

Summation Question (Properties)

  1. Dec 2, 2004 #1
    I have a rather simple question, but my rusty brain needs a good, swift kick-start.

    I start with:

    [tex]\sum_{i=1}^k i[/tex]

    and substitute in [tex]i=k-j[/tex] to get:

    [tex]\sum_{k-j=1}^k (k-j)[/tex]

    How do I get from this to the following?

    [tex]\sum_{k-j=1}^k (k-j) \rightarrow \sum_{j=0}^{k-1} (k-j)[/tex]

    Thanks in advance for your help.

    Last edited: Dec 2, 2004
  2. jcsd
  3. Dec 2, 2004 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    You're in some confusion in how to interpret the summation limits.
    Let's write it explicitly, to see how it follows:

    Now, rearrange the inequalities in the last expression:
    Which in standard notation is nothing else than:
    Last edited: Dec 2, 2004
  4. Dec 2, 2004 #3
    Thank you!

    I completely understand now. I just need a good, swift kick. :tongue2:

    Thanks again and take care!

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Summation Question (Properties)
  1. Summation Question (Replies: 3)

  2. Summation question (Replies: 1)

  3. Summation question (Replies: 3)