Basics of series - sequences and series, Mathematics

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Series - The Basics

That topic is infinite series.  So just define what is an infinite series?  Well, let's start with a sequence {an}n=1 (note the n=1 is for convenience, it can be anything) and describe the following,

2193_Basics of Series - Sequences and Series.png

The sn are called partial sums and notice that they will form a sequence, {sn}n=1.  Also recall that the ∑ is used to present this summation and termed as a variety of names. The most general names are:

a. Series notation,

b. Summation notation, and

c. Sigma notation.


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