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Algebra 1 4-7 Arithmetic Sequences

| 37 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.

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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.

- 4-section fenceAnswer by dragging items here
- 5-section fenceAnswer by dragging items here
- 6-section fenceAnswer by dragging items here

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2

10 pts

Problem 1 Got It?

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3

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

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

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

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

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

11

10 pts

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

A(9) = 27

A(9) = 9

A(9) = 51

A(9) = 35

12

10 pts

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

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

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

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

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

13

10 pts

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

A(9) = 119

A(9) = 81

A(9) = 151

A(9) = 107

14

10 pts

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

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

15

10 pts

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

A(9) = 9.3

A(9) = 10.8

A(9) = 11.1

A(9) = 11.3

16

10 pts

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

A(n) = A(n - 1) + 9; A(1) = 7.3

A(n) = A(n - 1) - 9; A(1) = 7.3

A(n) = A(n - 1) - 3; A(1) = 7.3

A(n) = A(n - 1) + 3; A(1) = 7.3

17

10 pts

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

A(9) = 35

A(9) = 30

A(9) = 25

A(9) = 20

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?

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Problem 6 Got It?

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24

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Problem 6 Got It?

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25

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27

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28

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30

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

Is the common difference 6 or -6? Explain.

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31

10 pts

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

32

10 pts

Reasoning: Can you use the explicit formula below to find the nth term of an arithmetic sequence with a first term A(1) and a common difference d. Explain.

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.

- 5Answer by dragging items here
- -5Answer by dragging items here
- -40Answer by dragging items here
- 12Answer by dragging items here
- 0Answer by dragging items here
- -4Answer by dragging items here

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.

- 300Answer by dragging items here
- -9Answer by dragging items here
- 0Answer by dragging items here
- 27Answer by dragging items here
- 3Answer by dragging items here

35

10 pts

Review Lesson 2-6: Fill in the blanks.

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

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36

5 pts

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

rectangle

circle

hexagon

octagon

37

10 pts

Reflection: Math Success

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