Geometric decay of bounce distances ($D_{\mathrm{total}}=D_1/(1-r)$)

If complete bounce distances obey $D_{n+1}=r{D}_n$ with $0\le r<1$, their sum is $D_1/(1-r)$. The first observed distance alone does not identify $r$, and a fixed energy-retention fraction need not imply the same distance-retention fraction when turning-point spring compression varies.