CHAPTER 3 |
Sequences and Series |

In this chapter, we consider three important types of sequences: arithmetic sequences, geometric sequences, and the harmonic sequence. In an arithmetic sequence, the difference between consecutive elements is constant. In a geometric sequence, the ratio between consecutive elements is constant. The harmonic sequence is simply the sequence (1, , , … ).

Given a sequence (*x*_{0}, *x*_{1}, … ), we may wish to define a new sequence that consists of the partial sums

The sequence (*y*_{0}, *y*_{1}, … ) of partial sums is a *series.*

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