Staar Algebra Arithmetic and Geometric Sequences Creating Explicit Rules

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

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CCSS.HSF.BF.A.2

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

What is the fifth term for the sequence below?

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

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CCSS.HSF.BF.A.2

What is the 8th term in the geometric sequence below?

• 19,683

• 6,561

• 2,187

• 729

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CCSS.HSF.BF.A.2

Which of the following best describes this sequence?

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

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CCSS.HSF.BF.A.2

Which of the following best describes this sequence?

• An arithmetic sequence with a common ratio of 3.

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

• A geometric sequence with a common ratio of 3.

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CCSS.HSF.BF.A.2

The explicit formula is used to find a specific term in a sequence.

• True

• False

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CCSS.HSF.BF.A.2