Devin is drawing stars in his notebook. He draws 113 stars on the first page, 132 stars on the second page, 151 stars on the third page, and 170 stars on the fourth page. What kind of sequence is this?

Answer 1

To determine the type of sequence Devin's stars represent, let's look at the number of stars he drew on each page:

1. First page: 113 stars
2. Second page: 132 stars
3. Third page: 151 stars
4. Fourth page: 170 stars

Now, we will calculate the differences between consecutive terms:

• From the first to the second page: \( 132 - 113 = 19 \)
• From the second to the third page: \( 151 - 132 = 19 \)
• From the third to the fourth page: \( 170 - 151 = 19 \)

The differences between the consecutive terms are all the same (19). This means that the sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Thus, the sequence of stars Devin drew is an arithmetic sequence with a common difference of 19.