We will need to find the limiting sum of the geometric series, which is given by:
[tex]S_\infty = \frac{a(1 - r^\infty)}{1- r}[/tex], a is the 1st term, and r is the common ratio.
[tex]S_\infty = \frac{1}{1 - 0.95} = 20[/tex]
Hence, the total distance travelled is 20 metres.
