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Section 9.4 - Sequences

Picture

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
  1. What is a sequence? (Pg 732)
  2. What is the difference between a finite and infinite sequence? (pg 732)
  3. How do you define a sequence explicitly? (Ex 1 pg 732)
  4. What is a recursive sequence? (pg 732)
  5. How do you define s sequence recursively? (Ex 2 pg 732-733)
Limits of Infinite Sequences
  1. What is the definition of the limit of a sequence? (pg 733)
  2. How do you find the limit of a sequence? (Ex 3 pg 733)
  3. Review the end behavior of rational functions (pg 240; green box #1)
  4. How do you apply end behavior of rational functions when finding limits of sequences? (Ex 4 pg 734)
Arithmetic and Geometric Sequences
  1. What is the difference between an arithmetic and geometric sequence? (pg 734)
  2. What is the definition of an arithmetic sequence? (pg 734)
  3. How do you define arithmetic sequences? (Ex 5 pg 734-735)
  4. What is the definition of a geometric sequence? (pg 735)
  5. How do you define geometric sequences? (Ex 6 pg 735-736)
  6. How do you construct a sequence? (Ex 7 pg 736)
Sequences and Graphing Calculators
  1. How do you graph a sequence defined explicitly? (Ex 8 pg 737)
  2. How do you generate a sequence with a calculator? (Ex 9 pg 737-738)
  3. 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.

Sequences #1
Sequences - Finding the Rule
TO PRACTICE: Scroll down to the bottom and find the green box called "your turn".
Sequences #2
Sequences Introduction
Practice with Sequences #2
Sequence Practice
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RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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