Solve the Problem $16 \mathrm { ft }$ In the First Second

Solve the problem.
-An object in free fall is dropped from a tall cliff. It falls $16 \mathrm { ft }$ in the first second, $48 \mathrm { ft }$ in the second second, $80 \mathrm { ft }$ in the third second, and so on. Write a formula for the nth term of an arithmetic sequence that represents the distance $d _ { n }$ (in $\mathrm { ft }$ ) that the object will fall in the $n$ th second.

A) $d _ { n } = 16 n$
B) $d _ { n } = 16 n ^ { 2 }$
C) $d _ { n } = 32 n + 16$
D) $d _ { n } = 32 n - 16$