Answer:
(a)
(b) 4 miles
Step-by-step explanation:
Given:
The sequence of run is an arithmetic sequence.
Miles traveled on day 1 = 1 mile
Miles traveled on day 7 = 2 miles
(a).
Explicit formula for an arithmetic sequence is given as:
Here,
So,
Therefore, the explicit definition of the above sequence is given as:
Where, is the miles covered on
day.
(b)
In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,
Therefore, the number of miles covered by her on day 19 is 4 miles.