Recursive Sequences

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

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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.BF.A.2

CCSS.HSF.IF.A.3

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

• Growth, 75%
• Growth, 25%
• Decay, 75%
• Decay, 25%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

Find the common difference.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the recursive formula below, write the first three terms.

a₁ = 4

a_n = 2a_n-1 + 5

• 7, 19, 43

• 4, 9, 14

• 4, 13, 31

• 1, 7, 19

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Determine if the following sequence is arithmetic or geometric.

4, 9, 14, 19, 24, ...

• Arithmetic

• Geometric

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2