Arithmetic Sequences

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
3, 7, 11, 15, ...

• 6
• 5
• 4
• 2

Tags

CCSS.HSF.BF.A.2

Find the common difference: -18, -23, -28, -33, ...

• d = -5
• d = 5
• d = -3
• d = 3

Tags

CCSS.HSF.BF.A.2

The next two terms of the sequence 4, 7, 10, 13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28
• -21, -25, -29
• -23, -28, -33
• -24, -29, -32

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n = a_n-1 + 11

  a₁ = 6

• a_n = a_n-1 - 4

  a₁ = 6

• a_n = a_n-1 + 9

  a₁ = 6

• a_n = a_n-1 + 6

  a₁ = 6

Tags

CCSS.HSF.BF.A.2

Write a recursive rule for the sequence 17, 1, -15, -31, ...

• a_n = a_n-1 + 16

  a₁ = 17

• a_n = a_n-1 - 17

  a₁ = 17

• a_n = a_n-1 - 15

  a₁ = 17

• a_n = a_n-1 - 16

  a₁ = 17

Tags

CCSS.HSF.BF.A.2

Select the explicit rule that represents the sequence.

• a_n = 11 - 68(n - 1)

• a_n = 68 - 9(n - 1)

• a_n = 68 - 11(n - 1)

• a_n = 9 + 68(n - 1)

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n = 2 + 6(n - 1)

• a_n = -6 + 6n

• a_n = -6n - 4

• a_n = 4 - 6n

Tags

CCSS.HSF.BF.A.2