Question
Clara swam 82 laps on Sunday, 64 laps on Monday, 46 laps on Tuesday, and 28 laps on Wednesday. What kind of sequence is this?
Answers
GPT-4o mini
To determine what kind of sequence the number of laps Clara swam represents, let's first list the number of laps for each day:
- Sunday: 82 laps
- Monday: 64 laps
- Tuesday: 46 laps
- Wednesday: 28 laps
Now, we can look at the differences between consecutive days:
- From Sunday to Monday: 82 - 64 = 18
- From Monday to Tuesday: 64 - 46 = 18
- From Tuesday to Wednesday: 46 - 28 = 18
The differences between the number of laps are consistent (18 laps each day), indicating that this is an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant.
Thus, the number of laps Clara swam forms an **arithmetic sequence** with a common difference of -18.
- Sunday: 82 laps
- Monday: 64 laps
- Tuesday: 46 laps
- Wednesday: 28 laps
Now, we can look at the differences between consecutive days:
- From Sunday to Monday: 82 - 64 = 18
- From Monday to Tuesday: 64 - 46 = 18
- From Tuesday to Wednesday: 46 - 28 = 18
The differences between the number of laps are consistent (18 laps each day), indicating that this is an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant.
Thus, the number of laps Clara swam forms an **arithmetic sequence** with a common difference of -18.