Page 1: Introduction to Arithmetic Sequences

This page introduces the concept of arithmetic sequences and provides a detailed example.

An arithmetic sequence is defined as a sequence where the difference between consecutive terms is constant. The page explains that all sequences have a starting input (independent variable) and a starting output (dependent variable).

Definition: An arithmetic sequence is a sequence where each term differs from the previous term by a constant amount, called the common difference.

The page presents Example #1 of an arithmetic sequence:

Example: Starting input: 1, Starting output: 2, Pattern: Adds 2 each time (common difference)

A table is provided showing the relationship between input (x) and output (f(x)) values:

x | f(x) 1 | 2 2 | 4 3 | 6 4 | 8

Highlight: Arithmetic sequences are linear functions because they have a constant rate of change.

The page also includes a visual representation of the sequence, showing how each point rises by 2 and moves right by 1 on a coordinate plane.

Vocabulary: Common difference - The constant value added to each term to get the next term in an arithmetic sequence.