Alex and Jesse baked muffins on day one they baked 5 muffins, on day two they baked 11 muffins and on day three they baked 17 muffins What is the slope for this arithmetic sequence

Question

Alex and Jesse baked muffins on day one they baked 5 muffins, on day two they baked 11 muffins and on day three they baked 17 muffins   What is the slope for this arithmetic sequence

GPT-4o mini · Answer

To determine the slope of the arithmetic sequence of muffins baked by Alex and Jesse, we can look at the difference in the number of muffins baked each day.

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

Now, let's find the difference between 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 common difference (or slope) in this arithmetic sequence is \(6\). This indicates that each day, they are baking 6 more muffins than the previous day.

Thus, the slope of the arithmetic sequence is \(6\).