## Section 9.4 - Sequences

**Essential Question(s):**

Explain the similarities and differences of Arithmetic and Geometric Sequences.

**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.

__Infinite Sequences__

- What is a sequence? (Pg 732)
- What is the difference between a finite and infinite sequence? (pg 732)
- How do you define a sequence explicitly? (Ex 1 pg 732)
- What is a recursive sequence? (pg 732)
- How do you define s sequence recursively? (Ex 2 pg 732-733)

__Limits of Infinite Sequences__

- What is the definition of the limit of a sequence? (pg 733)
- How do you find the limit of a sequence? (Ex 3 pg 733)
*Review the end behavior of rational functions (pg 240; green box #1)*- How do you apply end behavior of rational functions when finding limits of sequences? (Ex 4 pg 734)

__Arithmetic and Geometric Sequences__

- What is the difference between an arithmetic and geometric sequence? (pg 734)
- What is the definition of an arithmetic sequence? (pg 734)
- How do you define arithmetic sequences? (Ex 5 pg 734-735)
- What is the definition of a geometric sequence? (pg 735)
- How do you define geometric sequences? (Ex 6 pg 735-736)
- How do you construct a sequence? (Ex 7 pg 736)

__Sequences and Graphing Calculators__

- How do you graph a sequence defined explicitly? (Ex 8 pg 737)
- How do you generate a sequence with a calculator? (Ex 9 pg 737-738)
- What is the Fibonacci sequence? (pg 738)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 732 - 738.
- Make sure to read the paragraphs between the examples.