The teacher's helper was putting cookies onto plates. He put 38 cookies on the first plate, 43 cookies on the second plate, 48 cookies on the third plate, and 53 cookies on the fourth plate. What kind of sequence is this?

Answer 1

The sequence of cookies placed on the plates is: 38, 43, 48, 53.

To determine the type of sequence, we can look at the differences between consecutive terms:

• 43 - 38 = 5
• 48 - 43 = 5
• 53 - 48 = 5

The difference between each consecutive term is constant (5), which means this is an arithmetic sequence.

In an arithmetic sequence, each term is obtained by adding a fixed number (the common difference) to the previous term. In this case, the common difference is 5.