Arithmetic Sequences

Identify the common difference. 
10, 20, 30, 40, ...

• 5
• 10
• 15
• 20

Select the explicit rule that represents the sequence.

• $f\left(n\right)=14\ -3n$

• $f\left(n\right)=14n\ -3$
  

• $f\left(n\right)=-3n\ +17$
  

• $f\left(n\right)=14n\ +11$

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• f(n) = 4n + 29

• f(n) = -4n + 25

• _f(n) = -4n + 29

• f(n) = 4n + 25

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

• 8
• 11
• -11
• -8

Find the next three terms in the arithmetic sequence:

-33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Select the explicit rule that represents the sequence.

• $f\left(n\right)=5n\ +1$

• $f\left(n\right)=6n-2$
  

• $f\left(n\right)=-4n+10$
  

• $f\left(n\right)=4n-6$

Which of the following is an example of an arithmetic sequence?

• 4, 8, 16, 32, 64

• 1, 2, 4, 7, 11

• 15, 13, 11, 9, 7

• 3, 6, 12, 24, 48

Which of the following is the correct formula in finding the nth term of an arithmetic sequence?

• f(n) = f(1) + d(n - 1)

• f(n) = f(1) + d(n + 1)

• f(n) =f(1) - d(n - 1)

• f(n) = f(1) +- d(n + 1)

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes
• No