Infinite Circles (TOMATO Subjective 170)

Infinite Circles (TOMATO Subjective 170)

Problem: Let \({C_n}\) be an infinite sequence of circles lying in the positive quadrant of the \(XY\)-plane, with strictly decreasing radii and satisfying the following conditions. Each \(C_n\) touches both the \(X\)-axis and the \(Y\)-axis. Further, for all \(n\geq...