Recursive Formulas for Sequences Practice

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

Tags

CCSS.HSF.BF.A.2

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

• f (1) = 7

  f (n) = f (n − 1) − 5

• f (1) = 22

  f (n) = f (n − 1) − 5

• f (1) = 7

  f (n) = f (n − 1) + 5

• f (1) = 22

  f (n) = f (n − 1) + 5

Tags

CCSS.HSF.BF.A.2

In a geometric sequence, a₄ = −9, a₅ = −27, and a₆ = −81. What is the recursive formula for this sequence?

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• 
• 

Tags

CCSS.HSF.BF.A.2

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

Tags

CCSS.HSF.BF.A.2

Name the Sequence:

5, 10, 20, 24....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Neither

Tags

CCSS.HSF.BF.A.2

Determine the first 3 terms of the following sequence.

t₁= -3

t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

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

What is the recursive rule for the sequence:
-2, 12, -72, 432, ...

• a_n = -2(-6)^n-1
  
• a_n = -2 + 6(n-1)
• a_n = -6⋅a_n-1
  a₁ = -2
  
• a_n = a_(n-1) - 6
  a₁ = -2

Tags

CCSS.HSF.BF.A.2

A sequence is represented below.

{–2, –6, –18, –54,  –162 ...}

 Which recursive notation could be used to represent the sequence?

• a₁ = -2

  a_n = -3 • a_{n - 1}

• a₁ = -2

  a_n = a_{n - 1} – 4

• a₁ = 2

  a_n = -3 • a_{n - 1}

• a₁ = -2

  a_n = 3 • a_{n - 1}

Tags

AI.9.12.D