Lesson 1

1. Lesson 1

1.13. Lesson 1 Summary

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Lesson 1 Summary
 

This image shows a composite illustration of a pie chart, bar graph, broken-line graph, columns of numbers, computer monitor, and dollar symbol.

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In this lesson you investigated the following questions:

  • How can you find any term in an arithmetic sequence?
  • How are patterns important in the real world?

You studied number patterns called sequences. Specifically, you learned about the properties of arithmetic sequences, You derived a formula, called the general term, that can be used to represent any arithmetic sequence and determine its properties.

 

You relied on your ability to discover patterns and relationships among numbers. Finding and using patterns is important in mathematics. Many of the formulas you see in math are descriptions of patterns.

 

Patterns are also important in daily living. Accurate weather forecasting, for example, is something people depend on to plan their business and recreational activities. In the entertainment industry, television series are cancelled, extended, or moved to other time slots based on audience viewing patterns.

 

In the next lesson you will investigate where arithmetic sequences are applied in real-world contexts. You will also discover how arithmetic sequences are related to linear functions.