Prachi was $5$ kilometers east of her home when she began driving farther east at $70$ kilometers per hour.

Let $f(n)$ be Prachi's distance from her home at the beginning of the $n^{th}$ hour of her drive.

$f$ is a sequence. What kind of sequence is it$?$

Choose $1$ answer:

Arithmetic sequence

Geometric sequence

Write an explicit formula for the sequence.

$f(n)=$