The first term of the geometric progression is \(a = 0.5\).

The common ratio \(r\) is given by \(r = \frac{0.5^3}{0.5} = 0.5^2 = 0.25\).

The formula for the sum to infinity of a geometric progression is \(S_\infty = \frac{a}{1 - r}\).

Substitute the values of \(a\) and \(r\):

\(S_\infty = \frac{0.5}{1 - 0.25} = \frac{0.5}{0.75} = \frac{2}{3}\).

Thus, the sum to infinity is \(\frac{2}{3}\) (or 0.667).