$ 0 0 ConnectTheDots wrote: Distance series , ∏r + ∏r/2+ ∏r/4+ ∏r/8+ ∏r/16+ ∏r/32+ .... +∏r/2^(n-1) = 2∏r This is where your error is - look at the velocity and time again, and you'll find that these are not the distances travelled.