Question

Mike is training for a marathon. To prepare, he starts by running 5 miles the first week and increases the distance he runs each week by 2 miles. Mike’s plan is modeled by the sequence an=5+(n−1)⋅2.

Use the arithmetic sequence formula an=5+(n−1)⋅2 to complete the missing values in the table. This table displays x-values with missing corresponding y-values to be filled in.

Week (n) to Distance (miles)

2 to ___
4 to ___
6 to ___

Answer 1

Week 2: 5 + (2−1)·2 = 7 miles
Week 4: 5 + (4−1)·2 = 11 miles
Week 6: 5 + (6−1)·2 = 15 miles