Prachi was 5 kilometers east of her home when she began driving farther east at 79 kilometers per hour. Let f (n) be prachi's distance from her home at the beginning of the nth hour of her drive. what is the sequence and explicit formula?

Answer: f (n) = 5 + 79 (n - 1)

Step-by-step explanation:

she began driving farther east at 79 kilometers per hour. This means that the distance is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

f (n) = a + d (n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms (hours) in the sequence.

From the information given,

a = 5 kilometers

d = 79 kilometers

Therefore, the explicit formula would be

f (n) = 5 + 79 (n - 1)