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drnihili
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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.)
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.
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.
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.
A series is a sum of terms in a sequence, while a sequence is an ordered list of numbers or objects.
A series is made up of terms from a sequence, and a sequence can be used to find the terms in a series.
Yes, a sequence can be infinite if it continues without an end and follows a set pattern or rule.
Series and sequences are important concepts in mathematics because they are used to model real-world situations and can help us understand patterns and relationships in numbers and objects.
Yes, series and sequences can be applied in various fields such as physics, engineering, and finance to model and analyze continuous processes and patterns.