Chapter 15
Sequences and Series
IN THIS CHAPTER
Understanding both expanded and contracted notations for sequences
Working with sigma notation for series
Identifying the sequence of partial sums for a series
Calculating the value of a convergent geometric series
Knowing when a p-series is convergent or divergent
In this chapter, you get an introduction to the important Calculus II topic of sequences and series. To begin, you work with sequences in both expanded and contracted forms. Next, you use this understanding to get a grip on how applying sigma notation to a defining sequence turns it into a series.
Once you gain some experience working with series, you apply this knowledge to see how every series produces a sequence of partial sums. Then, you work with geometric series, discovering how to distinguish between convergent and divergent series of this type as well as how to calculate the value of a convergent geometric series.
To finish up, you work with p-series, learning to ...
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