Algebra 1 4-7 Complete Lesson: Arithmetic Sequences
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by Matthew Richardson
| 42 Questions
Note 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. The outlined content above was added from outside of Formative. 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?
A
B
C
D 3
3
10 pts
Problem 1 Got It?
A
B
C
D 4
4
10 pts
Problem 1 Got It?
A
B
C
D 5
5
10 pts
Problem 1 Got It?
A
B
C
D  6
6
10 pts
Problem 2 Got It?
A
B
C
D 7
7
10 pts
Problem 2 Got It?
A
B
C
D 8
8
10 pts
Problem 2 Got It?
A
B
C
D 9
9
10 pts
Problem 2 Got It?
A
B
C
D  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?
A
B
C
D 20
20
10 pts
Problem 4 Got It?
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B
C
D 21
21
10 pts
Problem 5 Got It?
A
B
C
D 22
22
10 pts
Problem 5 Got It?
A
B
C
D 23
23
10 pts
Problem 6 Got It?
A
B
C
D 24
24
10 pts
Problem 6 Got It?
A
B
C
D    25
25
10 pts
A
B
C
D 26
26
10 pts
A
B
C
D 27
27
10 pts
A
B
C
D 28
28
10 pts
A
B
C
D 29
29
10 pts
A
B
C
D 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
Add to my formatives list

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