Exploring Geometric Sequences and Their Terms

What is the common difference in the arithmetic sequence: 9, 14, 19, 24?

• 5

• 6

• 7

• 4

How many times do you need to add the common difference to the first term to find the 20th term in an arithmetic sequence?

• 18

• 21

• 19

• 20

What is the common ratio in the geometric sequence: 2, 6, 18?

• 4

• 2

• 3

• 5

In a geometric sequence, if the first term is 4 and the common ratio is -5, what is the third term?

• -20

• 100

• -100

• 20

What is the common ratio in the geometric sequence: 16, 8, 4?

• 1/2

• 1/8

• 2

• 1/4

If the first term of a geometric sequence is 5 and the common ratio is 3, what is the 4th term?

• 45

• 135

• 405

• 15

Using the formula for the nth term of a geometric sequence, what is the 6th term if the first term is 972 and the common ratio is 2/3?

• 256

• 128

• 64

• 512

In the lottery example, how much would you receive on the 30th day with option 1?

• $30,000

• $120,000

• $60,000

• $90,000

In the lottery example, how much would you receive on the 30th day with option 2?

• $5,360,710

• $3,000,000

• $300,000

• $30,000

Why is the graph of a geometric sequence not linear?

• It has a constant rate of change

• It has a variable rate of change

• It has no rate of change

• It is a straight line