Algebra 1 4-7 Guided Practice: Arithmetic Sequences

10

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

F.IF.3

F.LE.2

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Problem 1 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

A

B

C

D

F.BF.1.a

F.IF.3

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

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

A.SSE.1.a

F.BF.1.a

…

10

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

F.BF.1.a

F.IF.3

F.LE.2

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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) + 3; A(1) = 23

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

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 151

A(9) = 119

A(9) = 81

A(9) = 107

F.BF.1.a

F.IF.3

10

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) + 2.5; A(1) = 7.3

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

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

A.SSE.1.a

F.BF.1.a

…

10

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

F.BF.1.a

F.IF.3

10

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) - 3; A(1) = 97

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

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 35

A(9) = 30

A(9) = 20

A(9) = 25

F.BF.1.a

F.IF.3

10

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

Problem 4 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

10

Problem 4 Got It?

A

B

C

D

A.SSE.1.a

F.IF.3

10

Problem 5 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

10

Problem 5 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

10

Problem 6 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

10

Problem 6 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

Algebra 1 4-7 Guided Practice: Arithmetic Sequences

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.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

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

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

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

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

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

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?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

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.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

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

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

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

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

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

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?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

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?

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?