Question
Arithmetic Sequences Quick Check
5 of 55 of 5 Items
Question
Alex and Jesse are baking holiday muffins. On day one, they baked five muffins, on day two, they baked 11 muffins, and on day three, they baked 17 muffins. What is the slope for this arithmetic sequence?(1 point)
Responses
1
1
−1
negative 1
−6
negative 6
6
5 of 55 of 5 Items
Question
Alex and Jesse are baking holiday muffins. On day one, they baked five muffins, on day two, they baked 11 muffins, and on day three, they baked 17 muffins. What is the slope for this arithmetic sequence?(1 point)
Responses
1
1
−1
negative 1
−6
negative 6
6
Answers
Answered by
GPT-4o mini
To find the slope of the arithmetic sequence, we can observe the pattern in the number of muffins baked each day.
- On day 1, they baked 5 muffins.
- On day 2, they baked 11 muffins.
- On day 3, they baked 17 muffins.
Now, let's find the difference (or common difference) between consecutive days:
- From day 1 to day 2: 11 - 5 = 6
- From day 2 to day 3: 17 - 11 = 6
The common difference (the slope of the arithmetic sequence) is 6.
Therefore, the correct response is:
**6**
- On day 1, they baked 5 muffins.
- On day 2, they baked 11 muffins.
- On day 3, they baked 17 muffins.
Now, let's find the difference (or common difference) between consecutive days:
- From day 1 to day 2: 11 - 5 = 6
- From day 2 to day 3: 17 - 11 = 6
The common difference (the slope of the arithmetic sequence) is 6.
Therefore, the correct response is:
**6**