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Algebra 1 4-7 Guided Practice: Arithmetic Sequences

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Last updated over 5 years ago
41 questions
10
F.IF.3
F.LE.2
10
A.SSE.1.a
F.BF.1.a
…
10
F.BF.1.a
F.IF.3
F.LE.2
10
A.SSE.1.a
F.BF.1.a
…
10
F.BF.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
…
10
F.BF.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
…
10
F.BF.1.a
F.IF.3
10
Question 1
1.

10
Question 2
2.

Take Note: Define sequence.

10
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
10
Question 8
8.

Take Note: Define arithmetic sequence.

10
10
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
10
F.BF.1.a
F.IF.3
TAKE NOTE Key Concept

Recursive Formula For an Arithmetic Sequence
The nth term of an arithmetic sequence with first term A(1) and common difference d is given by
10
5
5
5
5
5
Question 21
21.

Question 22
22.

Question 23
23.

Question 24
24.

Question 25
25.

Question 26
26.

Question 27
27.

Question 28
28.

Question 29
29.

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?

10
5
5
5
5
10
A.SSE.1.a
F.BF.1.a
…
10
A.SSE.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
…
10
A.SSE.1.a
F.BF.1.a
…
10
A.SSE.1.a
F.BF.1.a
…
10
A.SSE.1.a
F.BF.1.a
…
10
Question 41
41.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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
25 pieces
20 pieces
24 pieces
27 pieces
19 pieces
16 pieces
26 pieces
4-section fence
5-section fence
6-section fence
Question 3
3.

Take Note: Define term of a sequence.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 9
9.

Take Note: Define common difference (of an arithmetic sequence).

Question 10
10.

Take Note: Provide an example of an arithmetic sequence with a common difference of 3 that includes 5 terms.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Take Note: General recursive formula for an arithmetic sequence:
Question 15
15.

Take Note: Define recursive formula.

Question 16
16.

Take Note: In a recursive formula, why is it important to define the first term of the sequence?

Question 17
17.

Question 18
18.

Question 19
19.

Question 20
20.

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) + 5; \ \ \ A(1) = 3
A(n) = A(n - 1) + 3; \ \ \ A(1) = 3
A(n) = A(n - 1) + 6; \ \ \ A(1) = 3
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
A(9) = 35
A(9) = 51
A(9) = 27
A(9) = 9
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A(n) = A(n - 1) + 18; \ \ \ 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) + 3; \ \ \ A(1) = 23
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
A(9) = 81
A(9) = 119
A(9) = 107
A(9) = 151
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A(n) = A(n - 1) + 0.5; \ \ \ A(1) = 7.3
A(n) = A(n - 1) + 1.5; \ \ \ A(1) = 7.3
A(n) = A(n - 1) + 1; \ \ \ A(1) = 7.3
A(n) = A(n - 1) + 2.5; \ \ \ A(1) = 7.3
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
A(9) = 9.3
A(9) = 11.3
A(9) = 10.8
A(9) = 11.1
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
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
A(n) = A(n - 1) - 3; \ \ \ A(1) = 97
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
A(9) = 30
A(9) = 35
A(9) = 25
A(9) = 20
Take Note: General explicit formula for an arithmetic sequence:
Question 30
30.

Take Note: Define explicit formula.

Question 31
31.

Question 32
32.

Question 33
33.

Question 34
34.

Question 35
35.

Question 36
36.

Question 37
37.

Question 38
38.

Question 39
39.

Question 40
40.

Problem 1 Got It?
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D
Problem 1 Got It?
A
B
C
D
Problem 1 Got It?
A
B
C
D
Problem 1 Got It?
A
B
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D
Problem 2 Got It?
A
B
C
D
Problem 2 Got It?
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B
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Problem 2 Got It?
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B
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Problem 2 Got It?
A
B
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D
Take Note: In a recursive formula, what does n represent?
the common difference of the sequence
the term number in the sequence
the value of the nth term of the sequence
the value of the first term of the sequence
Take Note: In a recursive formula, what does A(n) represent?
the value of the nth term of the sequence
the value of the first term of the sequence
the common difference of the sequence
the term number in the sequence
Take Note: In a recursive formula, what does A(1) represent?
the common difference of the sequence
the value of the nth term of the sequence
the value of the first term of the sequence
the term number in the sequence
Take Note: In a recursive formula, what does d represent?
the common difference of the sequence
the term number in the sequence
the value of the nth term of the sequence
the value of the first term of the sequence
Take Note: In an explicit formula, what does n represent?
the common difference of the sequence
the term number in the sequence
the value of the nth term of the sequence
the value of the first term of the sequence
Take Note: In an explicit formula, what does A(n) represent?
the common difference of the sequence
the value of the nth term of the sequence
the value of the first term of the sequence
the term number in the sequence
Take Note: In an explicit formula, what does A(1) represent?
the common difference of the sequence
the value of the first term of the sequence
the value of the nth term of the sequence
the term number in the sequence
Take Note: In an explicit formula, what does d represent?
the value of the nth term of the sequence
the value of the first term of the sequence
the term number in the sequence
the common difference of the sequence
Problem 4 Got It?
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B
C
D
Problem 4 Got It?
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B
C
D
Problem 5 Got It?
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B
C
D
Problem 5 Got It?
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B
C
D
Problem 6 Got It?
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B
C
D
Problem 6 Got It?
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B
C
D