Series: Definitions and Properties problem

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SUMMARY

The discussion centers around the misunderstanding of mathematical terminology, specifically the distinction between a series and a sequence. The user initially believed that the notation \{ a_n \}_{n=1}^m represented a series, but later realized it actually denotes a sequence of elements. This clarification highlights the importance of precise language in mathematical contexts, as a minor error in terminology can lead to significant confusion in problem-solving.

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  • Understanding of mathematical sequences and series
  • Familiarity with notation used in mathematics
  • Basic knowledge of mathematical problem-solving techniques
  • Ability to interpret homework statements and equations
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  • Study the definitions and properties of sequences and series in mathematics
  • Learn about common notation used in mathematical expressions
  • Practice solving problems involving sequences and series
  • Review examples of common mistakes in mathematical terminology
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Students studying mathematics, educators teaching mathematical concepts, and anyone looking to improve their understanding of sequences and series.

Slimsta
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Homework Statement


[PLAIN]http://img528.imageshack.us/img528/7061/37557155.jpg

Homework Equations


The Attempt at a Solution


i don't understand, what can possibly wrong with this :S
I checked it so many times over and over but everything seems to be right..
i don't even have this feeling about any of those that one is might be something else.. I am 99.9% sure about everything
 
Last edited by a moderator:
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This: \{ a_n \}_{n=1}^m is not a series (i.e. not a sum); this is a list of elements (i.e. a sequence).
 
oh i see.. little word messed up my whole answer :/
thanks man!
 

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