Algebra 1 4-7 Guided Practice: Arithmetic Sequences
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Last updated over 5 years ago
41 questions
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.
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.
- 25 pieces
- 13 pieces
- 24 pieces
- 27 pieces
- 20 pieces
- 16 pieces
- 19 pieces
- 26 pieces
- 4-section fence
- 5-section fence
- 6-section fence

10
Take Note: Define sequence.
Take Note: Define sequence.
10
Take Note: Define term of a sequence.
Take Note: Define term of a sequence.

10
Problem 1 Got It?
Problem 1 Got It?

10
Problem 1 Got It?
Problem 1 Got It?

10
Problem 1 Got It?
Problem 1 Got It?

10
Problem 1 Got It?
Problem 1 Got It?

10
Take Note: Define arithmetic sequence.
Take Note: Define arithmetic sequence.
10
Take Note: Define common difference (of an arithmetic sequence).
Take Note: Define common difference (of an arithmetic sequence).
10
Take Note: Provide an example of an arithmetic sequence with a common difference of 3 that includes 5 terms.
Take Note: Provide an example of an arithmetic sequence with a common difference of 3 that includes 5 terms.

10
Problem 2 Got It?
Problem 2 Got It?

10
Problem 2 Got It?
Problem 2 Got It?

10
Problem 2 Got It?
Problem 2 Got It?

10
Problem 2 Got It?
Problem 2 Got It?

10
Take Note: Define recursive formula.
Take Note: Define recursive formula.
5
Take Note: In a recursive formula, why is it important to define the first term of the sequence?
Take Note: In a recursive formula, why is it important to define the first term of the sequence?
5
Take Note: In a recursive formula, what does n represent?
Take Note: In a recursive formula, what does n represent?
5
Take Note: In a recursive formula, what does A(n) represent?
Take Note: In a recursive formula, what does A(n) represent?
5
Take Note: In a recursive formula, what does A(1) represent?
Take Note: In a recursive formula, what does A(1) represent?
5
Take Note: In a recursive formula, what does d represent?
Take Note: In a recursive formula, what does d represent?
10
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
…
10
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
10
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
…
10
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
10
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
…
10
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
10
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
…
10
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
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?
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
Take Note: Define explicit formula.
Take Note: Define explicit formula.
5
Take Note: In an explicit formula, what does n represent?
Take Note: In an explicit formula, what does n represent?
5
Take Note: In an explicit formula, what does A(n) represent?
Take Note: In an explicit formula, what does A(n) represent?
5
Take Note: In an explicit formula, what does A(1) represent?
Take Note: In an explicit formula, what does A(1) represent?
5
Take Note: In an explicit formula, what does d represent?
Take Note: In an explicit formula, what does d represent?

10
Problem 4 Got It?
Problem 4 Got It?
…

10
Problem 4 Got It?
Problem 4 Got It?

10
Problem 5 Got It?
Problem 5 Got It?
…

10
Problem 5 Got It?
Problem 5 Got It?
…

10
Problem 6 Got It?
Problem 6 Got It?
…

10
Problem 6 Got It?
Problem 6 Got It?
…

10
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?








