3.9-3.11 ARITHMETIC SEQUENCES

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22
• 17, 19, 21
• 17, 20, 23
• 16, 18, 20 

Given the recursive formula below, find the first five terms.  
u₁ = 3
u_n = u_n-1 + 2
where n ≥ 2

• 3, 5, 7, 9, 11
• 5, 7, 9, 11, 13

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

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

Identify the common difference.

-6, -3, 0, 3, 6....

• d=4

• d=3

• d=-4

• d=-3

The 6th term of the sequence 4,7,10,13 are

• 19

• 15

• 18

• 16

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

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

• 4

• 11

• 18

• 25

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95