The figure shows two circles and of radius 1 that touch an
Chapter 11, Problem 11.159(choose chapter or problem)
The figure shows two circles and of radius 1 that touch an bn at . is a common tangent line; is the circle that touches , , and ; is the circle that touches , , and ; is the circle that touches , , and . This procedure can be continued indefinitely and produces an infinite sequence of circles . Find an expression for the diameter of and thus provide another geometric demonstration of Example 6.
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