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 independentvariable and a starting output dependentvariable.
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 commondifference
A table is provided showing the relationship between input x and output f(x) values:
x | fx
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.