Staar Algebra Arithmetic and Geometric Sequences Creating Explicit Rules

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

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

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

What is the fifth term for the sequence below?

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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

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

• 19,683

• 6,561

• 2,187

• 729

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.

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.

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

• True

• False