Recursive Formula Review

Identify the common difference for the given arithmetic sequence.

3, 10, 17, 24, 31, ...

• d = -7

• d = -8

• d = 7

• d = 3

Tags

CCSS.HSF.BF.A.2

Identify the common difference of the given arithmetic sequence.

5, 1, -3, -7, ...

• d = -4

• d = -5

• d = 5

• d = 7

Tags

CCSS.HSF.BF.A.2

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22
• 17, 19, 21
• 17, 20, 23
• 16, 18, 20 

Tags

CCSS.HSF.BF.A.2

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3
• u₀ = 15
  u_n = u_n-1 + 3
• u₁ = 15
  u_n = u_n-1 - 3 
• u₀ = 15
  u_n = u_n-1 - 3

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

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

Find a₇.

15, 20, 25, 30, 35, ...

• 25

• 35

• 40

• 45

Tags

CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot9$

Tags

CCSS.HSF.IF.A.3

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.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