+ Section 4.6 Arithmetic Sequences. + Warm Up! (3 minutes on your warm up sheet) Compare the scatter plots below. Which line best represents the data?

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Presentation transcript:

+ Section 4.6 Arithmetic Sequences

+ Warm Up! (3 minutes on your warm up sheet) Compare the scatter plots below. Which line best represents the data? Support your answer with evidence from the graphs.

+ Warm Up! (3 minutes on your warm up sheet)

+ Exploration 1 (Pg )(6 minutes) Use the figures to complete the table. Plot the points given by your completed table. Describe the pattern of the y-values.

+ Exploration 1

+ Definitions (Pg. 123)(3 minutes) Sequence: an ordered list of numbers. Term: each number in a sequence. Each term a n has a specific position n in the sequence.

+ Pg. 123

+ Example 1 (handout)(together) Write the next three terms of the arithmetic sequence. -7, -14, -21, -28

+ Example 1 (handout)(together) Write the next three terms of the arithmetic sequence. -7, -14, -21, -28

+ Example 2 (handout)(3 minutes) Graph the arithmetic sequence 4, 8, 12, What do you notice?

+ Example 2 (handout)(3 minutes) Graph the arithmetic sequence 4, 8, 12, What do you notice?

+ Example 3 (handout)(3 minutes) Does the graph represent an arithmetic sequence? Explain.

+ Example 3 (handout)(3 minutes) Does the graph represent an arithmetic sequence? Explain.

+ Pg. 123

+

+ Example 4 (handout)( together) Write an equation for the nth term of the arithmetic sequence 14, 11, 8, 5, … Then find a 50.

+ Example 4 (handout)( together) Write an equation for the nth term of the arithmetic sequence 14, 11, 8, 5, … Then find a 50.

+ Example 5 (handout)( 3 minutes) Online bidding for a purse increases by $5 for each bid after the $60 initial bid. a) Write a function that represents the arithmetic sequence. b) Graph the function. c) The winning bid is $105. How many bids were there?

+ Example 5 (handout)( 3 minutes) Online bidding for a purse increases by $5 for each bid after the $60 initial bid.

+ Homework Pg #1-21 odd Extra Credit #22

+ Closure (3 minutes) Determine whether the sequence is arithmetic. If so, find the common difference.

+ Closure (3 minutes) Determine whether the sequence is arithmetic. If so, find the common difference. NO!!!