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Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

By Matt Richardson
Last updated almost 3 years ago
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.

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

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.

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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.

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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.

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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.

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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?

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Problem 4 Got It?

Problem 5 Got It?

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Problem 5 Got It?

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Problem 6 Got It?

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Problem 6 Got It?

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Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?

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

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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

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

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.

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

Vocabulary Review: What is the next number in the pattern?

Vocabulary Review: What is the next number in the pattern?

Vocabulary Review: What is the next number in the pattern?

Use Your Vocabulary: The set is a sequence.

Explain the pattern.

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.

Reflection: Math Success