Read the story and respond to the requests below.

Question

Karena is enrolled in a driver's training program. She drives 3 miles the first week of her training, 6 miles the second week, 12 miles the third week, and 24 miles the fourth week.

Write the sequence represented by the story.
Is the sequence arithmetic or geometric?
Does it have a common difference or common ratio?
What is the common difference or common ratio?
What are the next three terms?

Answer 1

The sequence represented by the story is: 3, 6, 12, 24.

The sequence is geometric.

It has a common ratio.

The common ratio is 2 (since each term is multiplied by 2 to get the next term).

The next three terms can be calculated as follows:

• The fifth term: 24 * 2 = 48
• The sixth term: 48 * 2 = 96
• The seventh term: 96 * 2 = 192

So, the next three terms are: 48, 96, 192.