Recursive & Explicit Arithmetic Sequences

Is the following sequence arithmetic?
21, 13, 5, -3, ...

• YES
• NO

Tags

CCSS.HSF.BF.A.2

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6
• a₁=64; a_n = a_n-1-6
• a₁=82; a_n = a_n-1+6
• a₁=64; a_n = a_n-1+6

Tags

CCSS.HSF.BF.A.2

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

• a₁=-49; a_n = a_n-1 + 10
• a₁=-7; a_n = a_n-1 + 14
• a₁=-49; a_n = a_n-1 + 14
• a₁= -49; a_n = a_n-1 -14

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for the arithmetic sequence
9, 13, 17, 21, ...

• a_n = -4n + 5
• a_n = -9n + 14
• a_n = 9n - 5
• a_n = 4n + 5

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76
• Recursive; 100, 92, 84, 76
• Explicit; 100, 108, 116, 124
• Recursive; 100, 108, 116, 124

Tags

CCSS.HSF.BF.A.2

Find the common difference of the arithmetic sequence
7, 11, 15, 19, ...

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for the arithmetic sequence
5, 9, 13, 17, ...

• a_n = 5n + 4

• a_n = 4n + 1

• a_n = 4n + 5

• a_n = 5n - 4

Tags

CCSS.HSF.BF.A.2

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 50; a_n = a_n-1 + 7

• Explicit; 50, 57, 64, 71

• Recursive; 50, 57, 64, 71

• Explicit; 50, 43, 36, 29

• Recursive; 50, 43, 36, 29

Tags

CCSS.HSF.BF.A.2