§7 Number Sequences

In this chapter you will learn:

What a number sequence is and how to define it explicitly or recursively
Properties of arithmetic progressions and the formula for the $n$ -th term
How to find the sum of the first $n$ terms of an arithmetic progression
Properties of geometric progressions and the formula for the $n$ -th term
How to find the sum of the first $n$ terms of a geometric progression
The concept of a limit of a sequence and the sum of an infinite geometric series
Summation notation ( $\Sigma$ ) and how to work with it

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