To determine the slope for the arithmetic sequence formed by the number of muffins Alex and Jesse baked each day, we look at the difference in the number of muffins baked from one day to the next.
- On day one, they baked 5 muffins.
- On day two, they baked 11 muffins. The difference from day one is \(11 - 5 = 6\).
- On day three, they baked 17 muffins. The difference from day two is \(17 - 11 = 6\).
The common difference (or slope) of this arithmetic sequence is 6.
Therefore, the answer is:
6