Arithmetic Sequences and Recursive Formulas

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

• a_n = a_n-1 + 16
• a_n = a_n-1 - 17
• a_n = a_n-1 - 15
• a_n = a_n-1 - 16

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Given the sequence 4, 11, 18, 25...... what is a₃ ?

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Given the recursive formula below, find the first five terms.  
u₁ = 3
u_n = u_n-1 + 2
where n ≥ 2

• 3, 5, 7, 9, 11
• 5, 7, 9, 11, 13

Tags

CCSS.HSF.BF.A.2