Recursive Sequences

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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

Given the recursive formula below, find the explicit formula.  
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n
• a_n = 1 + 5n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

• u_n = 3 + 5n
• u_n = -2 + 5n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the recursive formula below, find the explicit formula.  
a₁ = 5
a_n = a_n-1 - 6

• a_n = 5 - 6n 
• a_n = 11 - 6n 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.2

How does a linear equation relate to the explicit formula?  

• the slope is the common difference
• the y-intercept is the common difference
• the two are not related
• the slope is u₁

Tags

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator
• Common opposites
• Common domain
• Common difference

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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

CCSS.HSF.LE.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

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2