Section 9.5 - Series

Essential Question(s): 

Explain the similarities and differences of series and sequences.

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

Summation Notation

1. What is summation notation and it's purpose? (pg 742)

Sums of Arithmetic and Geometric Sequences

1. What is the Sum of a Finite Arithmetic Sequence Theorem? (pg 743)
2. How do you sum the terms of an arithmetic sequence? (Ex 1 pg 744)
3. What is the Sum of a Finite Geometric Sequence Theorem? (pg 745)
4. How do you sum the terms of an geometric sequence? (Ex 2 pg 745)

Infinite Series

1. What is an infinite series? (pg 746)
2. What are partial sums and how do they affect convergence of a series? (pg 747)
3. How do you analyze limits of partial sums? (Ex 3 pg 747) ***Make sure to read the paragraph below EX 3.***

Convergence of Geometric Series

1. What is the Sum of an Infinite Geometric Series Theorem? (pg 748)
2. How do you sum the terms of an infinite geometric series? (Ex 4 pg 748)
3. How can you convert a repeating decimal into a fraction? (Ex 5 pg 749)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

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Summation Notation

TO PRACTICE SUMMATION NOTATION
Scroll down to the bottom and look for the green box called "your turn".

infinite Series

Sigma Notation & Series

Practice w/ Sigma Notation & Series

• Read pages 742 - 749.
• Make sure to read the paragraphs between the examples.