Staar Algebra Arithmetic and Geometric Sequences Creating Explicit Rules

Write the EXPLICIT rule for the arithmetic sequence

12, 10, 8, 6, ...

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

Write the EXPLICIT rule for the arithmetic sequence

• a_n = -4n + 5

• a_n = -9n + 14

• a_n = 9n - 5

• a_n = 4n + 5

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

• 8, 13, 18

• -8, -13, -18

• -7, -11, -15

• 7, 11, 15

What is the common difference of the sequence below? 6, 9, 12, 15, ... Hint: Common difference means the ADDING pattern

• 3

• 6

• 9

• 12

What is the first term of the sequence below?

6, 9, 12, 15, ...

• 3

• 6

• 9

• 12

• 200

• 450

• 1,015

• 2,475