Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

by Matthew Richardson

| 42 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

1

10 pts

Solve It! A wooden post-and-rail fence with two rails is made as shown. Find the number of pieces of wood needed to build a 4-section fence, a 5-section fence, and a 6-section fence. Not all items will be used.

- 13 pieces
- 16 pieces
- 19 pieces
- 20 pieces
- 24 pieces
- 25 pieces
- 26 pieces
- 27 pieces

- 4-section fence
- 5-section fence
- 6-section fence

2

2

10 pts

Problem 1 Got It?

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3

3

10 pts

Problem 1 Got It?

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4

4

10 pts

Problem 1 Got It?

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5

5

10 pts

Problem 1 Got It?

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6

6

10 pts

Problem 2 Got It?

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7

7

10 pts

Problem 2 Got It?

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8

8

10 pts

Problem 2 Got It?

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9

9

10 pts

Problem 2 Got It?

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10

10 pts

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

A(n) = A(n - 1) + 4; A(1) = 3

A(n) = A(n - 1) + 6; A(1) = 3

A(n) = A(n - 1) + 5; A(1) = 3

A(n) = A(n - 1) + 3; A(1) = 3

11

10 pts

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

A(9) = 51

A(9) = 35

A(9) = 27

A(9) = 9

12

10 pts

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

A(n) = A(n - 1) + 15; A(1) = 23

A(n) = A(n - 1) + 12; A(1) = 23

A(n) = A(n - 1) + 18; A(1) = 23

A(n) = A(n - 1) + 3; A(1) = 23

13

10 pts

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

A(9) = 81

A(9) = 151

A(9) = 107

A(9) = 119

14

10 pts

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

A(n) = A(n - 1) + 2.5; A(1) = 7.3

A(n) = A(n - 1) + 1.5; A(1) = 7.3

A(n) = A(n - 1) + 0.5; A(1) = 7.3

A(n) = A(n - 1) + 1; A(1) = 7.3

15

10 pts

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

A(9) = 11.3

A(9) = 10.8

A(9) = 9.3

A(9) = 11.1

16

10 pts

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

A(n) = A(n - 1) + 3; A(1) = 97

A(n) = A(n - 1) + 9; A(1) = 97

A(n) = A(n - 1) - 3; A(1) = 97

A(n) = A(n - 1) - 9; A(1) = 97

17

10 pts

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

A(9) = 20

A(9) = 25

A(9) = 30

A(9) = 35

18

10 pts

Problem 3 Got It? Reasoning: Is a recursive formula a useful way to find a value of an arithmetic sequence?

HINT: What if you want to find the 91st term in an arithmetic sequence?

19

19

10 pts

Problem 4 Got It?

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20

20

10 pts

Problem 4 Got It?

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21

21

10 pts

Problem 5 Got It?

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22

22

10 pts

Problem 5 Got It?

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23

23

10 pts

Problem 6 Got It?

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24

24

10 pts

Problem 6 Got It?

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25

25

10 pts

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D

26

26

10 pts

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27

27

10 pts

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28

28

10 pts

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29

29

10 pts

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30

10 pts

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...

Is the common difference 6 or -6?

6

-6

32

32

10 pts

Error Analysis: Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28, ...

33

10 pts

Review Lesson 4-6: Consider the function.

Match each domain element in the left column with its related range element in the right column. Use each domain element only once.

- -3
- -1.25
- 0
- 1
- 10

- 5
- -40
- 12
- 0
- -4

34

10 pts

Review Lesson 4-6: Consider the function.

Match each domain element in the left column with its related range element in the right column. Use each domain element only once.

- -3
- -1
- 0
- 1
- 10

- 300
- 0
- 27
- 3

35

10 pts

Review Lesson 2-6: Fill in the blanks.

- 5.25
- 480
- 132

- A pool fills at a rate of 8 gal/min. This is __?__ gal/h.
- A ball is thrown at a speed of 90 mi/h. This is __?__ ft/sec.
- You buy bottled water in 12-packs that cost $3 each. If you drink 3 bottles per day, your cost is $__?__ per week.

36

36

5 pts

Vocabulary Review: What is the name of the next shape in the pattern shown?

circle

hexagon

rectangle

octagon

37

10 pts

Vocabulary Review: What is the next number in the pattern?

38

10 pts

Vocabulary Review: What is the next number in the pattern?

39

10 pts

Vocabulary Review: What is the next number in the pattern?

40

10 pts

Use Your Vocabulary: The set is a sequence.

Explain the pattern.

41

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

42

10 pts

Reflection: Math Success

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