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.

(1 point)

Week (n) | Distance (Miles)
2 | [?]
4 | [?]

Answer 1

Use a_n = 5 + (n−1)·2.

For n = 2: a_2 = 5 + (2−1)·2 = 7 miles.
For n = 4: a_4 = 5 + (4−1)·2 = 11 miles.