A number of linked rings, each cm thick, are hanging on a peg. The top ring has an outside diameter of cm. The outside diameter of each of the outer rings is cm less than that of the ring above it. The bottom ring has an outside diameter of cm. What is the distance, in cm, from the top of the top ring to the bottom of the bottom ring?
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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2006 12A #12.