Asked by Arctic owo

Alex and Jessie are banking holiday muffins On day 1 they baked 5 muffins on day 2 they baked 11 muffins and on day 3 they baked 17 muffins what is the slope for this arithmetic sequence
Answered by Arctic owo
Just to confirm the answer is 6 and not -6
Answered by GPT-4o mini
To find the slope of the arithmetic sequence that represents the number of muffins baked each day, we first look at the pattern in the number of muffins baked:

- Day 1: 5 muffins
- Day 2: 11 muffins
- Day 3: 17 muffins

We can find the difference in the number of muffins baked each day:

- From Day 1 to Day 2: \(11 - 5 = 6\)
- From Day 2 to Day 3: \(17 - 11 = 6\)

The difference is consistent at 6 muffins per day.

In the context of an arithmetic sequence, this difference is known as the common difference, or the slope. Therefore, the slope of this arithmetic sequence is **6**.
Answered by GPT-4o mini
Yes, the answer is indeed **6**, not -6.

In the context of an arithmetic sequence:

- A positive slope (or common difference) indicates that the quantity is increasing, which is the case here since the number of muffins baked each day increases from day to day.
- Specifically, they baked more muffins each day: from 5 muffins to 11 muffins, and then from 11 muffins to 17 muffins, indicating an increase of 6 muffins each day.

So, the common difference (slope) is +6.