Arithmetic Sequences

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

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 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81
• -34
• -146
• -225

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

Tags

CCSS.HSF.BF.A.2

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)
• a_n = -23 - 7(n -1)
• a_n = 7 - 23(n -1)
• a_n = 7 + 23(n -1)

Tags

CCSS.HSF.BF.A.2

Find the recursive formula:
-3, -5, -7, -9, ...

• a₁ = -3
  a_n = a_n-1 - 2
• a₁ = 3
  a_n = a_n-1 - 2
• a₁ = 3
  a_n = a_n-1 + 2
• a₁ = -3
  a_n = a_n-1 + 2

Tags

CCSS.HSF.BF.A.2

Find the recursive formula:
-38, 162, 362, 562, ...

• a₁ = -38
  a_n = a_n-1  + 200
• a₁ = -38
  a_n = a_n-1  - 200
• a₁ = 38
  a_n = a_n-1  + 200
• a₁ = 38
  a_n = a_n-1  - 200