Question
Lauren sent 78 e-mails on Thursday, 80 e-mails on Friday, 83 e-mails on Saturday, and 87 e-mails on Sunday. What kind of sequence is this?
Answers
GPT-4o mini
To determine the type of sequence represented by the number of e-mails Lauren sent over the four days, we can analyze the pattern in the data:
- Thursday: 78 e-mails
- Friday: 80 e-mails
- Saturday: 83 e-mails
- Sunday: 87 e-mails
Now, let's look at the differences between the consecutive days:
- From Thursday to Friday: 80 - 78 = 2
- From Friday to Saturday: 83 - 80 = 3
- From Saturday to Sunday: 87 - 83 = 4
The differences between the numbers of e-mails are:
- 2, 3, 4
The differences themselves are increasing by 1 each time. This indicates that the e-mail counts form a quadratic sequence, which is characterized by a second difference that is constant.
In summary, this sequence is a quadratic sequence due to the pattern of the differences.
- Thursday: 78 e-mails
- Friday: 80 e-mails
- Saturday: 83 e-mails
- Sunday: 87 e-mails
Now, let's look at the differences between the consecutive days:
- From Thursday to Friday: 80 - 78 = 2
- From Friday to Saturday: 83 - 80 = 3
- From Saturday to Sunday: 87 - 83 = 4
The differences between the numbers of e-mails are:
- 2, 3, 4
The differences themselves are increasing by 1 each time. This indicates that the e-mail counts form a quadratic sequence, which is characterized by a second difference that is constant.
In summary, this sequence is a quadratic sequence due to the pattern of the differences.