Precalculus with Integrated CalculusXYZ Homework Edition

⇩ Download ▾

Chapter 10: Sequences and the Binomial Theorem

In this section, we introduce sequences which are an important class of functions whose domains are, more or less, the set of natural numbers. Before we get to far ahead of ourselves, let's look at what the term `sequence' means mathematically. Informally, we can think of a sequence as an infinite list of numbers. For example, consider the sequence

1 2 , 3 4 , 9 8 , 27 16 ,

(10.1)

Adapted from Precalculus, Preliminary 4th Edition (integrated calculus), by Carl Stitz and Jeff Zeager (stitz-zeager.com), licensed under CC BY-NC-SA 3.0. Changes were made: reformatted as an accessible XYZ web edition. License: CC-BY-NC-SA-3.0.

These eBooks are a prerelease and are not yet certified conformant with WCAG 2.1 AA or ADA Title II. Every page is built against an automated accessibility gate, and the published editions will meet ADA Title II requirements when they release in late September 2026. If something is unusable, please tell us.