Answer
$70$
Work Step by Step
Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series.
The sum of an infinite Geometric Series can be found using: $S_n=\dfrac{a_1}{1-r}$
In the given problem it has been noted that the distance decreases by $80\%$ or, $0.8$.
Thus, we have a first term $a_1=14$ and common ratio $r=0.8$
Therefore, we have $S=\dfrac{14}{1-0.8}$
Hence, $S=\dfrac{14}{0.2}=70$