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

6
6

1
1

−6
negative 6

−1

1 answer

The number of muffins baked each day forms an arithmetic sequence, where the first term is 5 (Day 1), the second term is 11 (Day 2), and the third term is 17 (Day 3).

To find the slope (or common difference) of this arithmetic sequence, we can subtract the number of muffins baked on one day from the number baked on the next day:

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

The common difference (slope) of the sequence is 6.

Thus, the slope for this arithmetic sequence is 6.