Hi I was wondering if I could receive some help on a couple of worded infinite series problems:
1. A pane of a certain type of glass reflects half the incident light, absorbs one-forth, and transmits one fourth. A window is made of two panes of this glass separated by a small space. What fraction of the incident light I is transmitted by the double window?
2. Imagine a very thick, one kilometre long tightrope made from rubber. You start at one end and walk along the rope at 1 meter per second. At the end of each second, the rope is stretched, so that it is one kilometre longer than before. You are are carried along with the stretching. Assuming that you are immortal and can keep on walking forever, the rope never breaks, etc., will you ever reach the end of the rope?