A.2.6 Arithmetic Sequences: 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.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

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

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

• 4

• 11

• 18

• 25

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CCSS.HSF.BF.A.2

-5, -1, 3, 7, 11
What is the common difference  (d) ?

• -9

• +4

• -5

• -1

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CCSS.HSF.BF.A.2

-5, -1, 3, 7, 11
What is the recursive rule?

•   $A_n=A_{\left(n-1\right)}\ +\ 4$  

•   $A_n=A_{\left(n-1\right)}-9$ 

•  $A_n=A_{\left(n-1\right)}-5$  

•  $A_n=A_{\left(n\right)}-4$  

Tags

CCSS.HSF.IF.A.3

17, 10, 3, -4, -11
What is the common difference  (d) ?

• 24

• 17

• -18

• -7

Tags

CCSS.HSF.BF.A.2

-20, -17, -14, -11, -8
What is the recursive rule?

•   $A_n=A_{\left(n-1\right)}\ +\ 3$  

•   $A_n=A_{\left(n-1\right)}-3$ 

•  $A_n=A_{\left(n-1\right)}-20$  

•  $A_n=A_{\left(n\right)}-23$  

Tags

CCSS.HSF.IF.A.3

-20, -17, -14, -11, -8
What is  $A_7$ ?

• -5

• -2

• 1

• 4

Tags

CCSS.HSF.BF.A.2