Roger Sparks wrote:
For the resistor Rs, it will have power applied from two sources, the source and the reflected power from the transmission line, i.e., the source power and reflected power are in series when considered in relationship with the resistor Rs. The problem is that 'what looks like two sources to resistor Rs, is really only one source, Vs'.

Actually, it will have energy applied from three sources, the
source, the reflected energy, and the reactive energy stored
in the transmission line. The energy that Keith is missing
comes from the reactance in the transmission line.
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73, Cecil http://www.w5dxp.com