Arithmetic Sequences and Domain and Range Lessons

In the sequence 9, 18, 27, 36 and so on, what is the common difference?

• 9

• 5

• 11

• 7

If the sequence 4, 8, 12, 16 continues, what will be the 7^th term?

• 24

• 32

• 28

• 36

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

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n= 2 + (n - 1) (-6)

• a_n= 2 + (n - 1) (6)

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Find the common ratio: 64, -16, 4, -1, ...

• r = -8
• r = -1/4
• r = -4
• r = 4

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

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• f(n) = a_n-1 x 3

• f(n) = 5(3)^n-1

• f(n) = 3(5)^n-1

• f(n) = 5 + (n-1)3

What is the range of the graph?

• All real numbers greater than or equal to −1

• All real numbers greater than or equal to 1

• All real numbers

• All real numbers greater than or equal to −1 and less than or equal to 5

What is the domain?

• All real numbers

• All real numbers greater than 0

• All real numbers less than 0

• All real numbers greater than or equal to 0