To find the slope of this arithmetic sequence, we need to determine the difference in the number of muffins baked on consecutive days.
- On day one, they baked 5 muffins.
- On day two, they baked 11 muffins.
- On day three, they baked 17 muffins.
Now we can calculate the differences:
- From day one to day two: \( 11 - 5 = 6 \)
- From day two to day three: \( 17 - 11 = 6 \)
The difference (or slope) is constant at 6 muffins per day.
Therefore, the slope for this arithmetic sequence is 6.