Recursive and Explicit Patterns

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. 
What is the meaning of a_4?

• There are 60 seats in the first row
• There are 84 seats in the fourth row
• There are 82 seats in the fourth row
• There are 76 seats in the row before the fourth row

Tags

CCSS.HSF.BF.A.2

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.

What is the explicit form of this sequence?

• f(x) = 60(8)^x , where x = 0,1,2,...

• a_n = 60(8)ⁿ, where n = 0,1,2,...

• a_n = 8n + 60, where n = 0,1,2,..

• a_n = 60 + 8(n-1), where n= 1,2,3,...

Tags

CCSS.HSF.BF.A.2

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.  How many seats are in the 6th row?

• 100
• 84
• 92
• 52

Tags

CCSS.HSF.BF.A.2

Find the recursive form of the sequence

-56, -60, -64, .......

• a_n+1 = a_n - 56, n = 1,2,3,...

  a₁ = -4

• a_n+1 = a_n - 4, n=1,2,3,...

  a₁ = -56

• a_n+1 = a_n - 4, n=0,1,2,...

  a₁=-56

• a_n+1 = a_n - 56, n = 0,1,2,...

  a₁ = -4

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+1 = a_n + 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

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n = 2 + 6(n-1), where n = 1,2,3,...

• a_n = -6 + 6(n-1), where n = 1,2,3,...

• a_n = 6(n-1) - 4, where n = 1,2,3,...

• a_n = 4 - 6(n-1), where n = 1,2,3,...

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n+1 = a_n + 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

Find the 16th term.

• 16
• 31
• 25
• 35

Tags

CCSS.HSF.BF.A.2