Jared owns a hardware store and is looking over his past orders. Jared's hardware store ordered 19 power drills in December, 21 power drills in January, 23 power drills in February, and 25 power drills in March. What kind of sequence is this?

Answer 1

The number of power drills ordered by Jared in the past months (December, January, February, and March) forms a sequence: 19, 21, 23, 25.

To identify the type of sequence, we can observe how the numbers change from one month to the next:

• From December to January: 21 - 19 = 2
• From January to February: 23 - 21 = 2
• From February to March: 25 - 23 = 2

Since the difference between consecutive terms is constant (2), this sequence is an arithmetic sequence. In an arithmetic sequence, each term is generated by adding a fixed number (the common difference) to the previous term. In this case, the common difference is 2.