Relativistic flies

Consider a group of N=100N=100 relativistic houseflies, flying along the x-axis. Each fly FkF_{k} sees the next fly Fk+1F_{k+1} moving away at u=0.01cu=0.01 c (c is the speed of light). What is the relative speed v100v_{100} in meters per second between the leftmost fly, F1F_{1}, and the last fly, F100F_{100}?

Details and assumptions

Assume c=3×108 m/s.c=3\times 10^{8}~\text{m}/\text{s}.

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