I got dinged on a paper once because I mixed up the notions of series and sequence. I've never bothered to really clarify the distinction. Can anyone tell me what the difference is? (We're talking math here.)
A series does not have to be an infinite series, so it can be summed if you impose a finite upper bound on n. But even if you do let n-->infinity, you still have a series, you just have a divergent one as you noted.Originally posted by drnihili
Ok, so <1, 10, 19, 28, ..., 9(n-1)+1, ...> is a sequence. Since it's divergent, I don't see how it can be summed. Unless you just mean including infinity as a final element.
I think you are not seeing the distinction.Can you give me examples of sequences that are series and some that aren't? Maybe I'm just not seeing the point of the distinction. It could also be that I just got a contentious reviewer.
No, I was attempting to publish a paper not dealing directly with the distinction between sequences and series. I used the term "series" to describe the number of laps a runner runs throughout a race, (i.e. 1, 2, 3, 4, ...). The reviewer stated that I was misusing terminology and that hence my conclusion didn't follow. From Tom's description above, it's not clear that I was misusing terminology as my primary concern was with the ongoing total of laps, though the transition between natural language and math is sometimes less than determinate.Originally posted by HallsofIvy
A reviewer? You were attempting to publish a paper dealing with sequences and/or series and don't even know what they are? Sounds to me like a GOOD reviewer.