1. Lesson 3

1.9. Explore 5

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Share 2

 

With a classmate, compare the general term to the series formula. So,

 

 

tn = a + (n − 1)d compared to

 

Then discuss the following question:

  • What does each formula represent? What patterns or connections can you see between the formulas?

course folder Save notes from your discussion in your course folder.

Another way to express  is .



textbook

Turn to “Example 1” on page 25 of the textbook to see how you can use either of the following formulas to solve a problem:

 

 

 or

 

Note that the textbook uses t1 instead of a in the general term. They are equivalent. Focus on the solution to part b. Try to answer these questions as you read:

  • How do you know which formula will work best in a given situation?

  • What mathematical errors can be made with each formula if you are not careful?

formula sheet

Add the two Sn formulas to your copy of Formula Sheet. Resave Formula Sheet in your course folder.

 

Self-Check 2

 

This is a play button that opens Understanding Arithmetic Series.

Complete Understanding Arithmetic Series. Have some scrap paper handy to do rough work. You may wish to save your rough work in your course folder for future reference. If you make a mistake, don’t worry! You can reset the question and then try again!