Explicit Arithmetic Sequences

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

• YES
• NO

Tags

CCSS.HSF.BF.A.2

Determine the common difference for the arithmetic sequence
-5, 12, 29, 46, ...

• 7
• 17
• -7
• -17

Tags

CCSS.HSF.BF.A.2

Determine the common difference for the arithmetic sequence
9, 16, 23, 30, ...

• 7
• 17
• -7
• -17

Tags

CCSS.HSF.BF.A.2

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

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

-10, -3, 4, 11,...

• a_n = 10n + 17

• a_n = 7n - 17

• a_n = -7n + 17

• a_n = 7n + 3

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