An ant finds itself trapped in the -plane, and its initial position is
Let denote the circle with radius centered around the origin. Starting from , the ant walks 1 unit counter-clockwise on Then, it walks directly (radially outward) to on which it will walk 2 units counter-clockwise. Then, it will walk directly to and walk 3 units counter-clockwise, and so, with the ant walking units on (See the image above.)
When the ant crosses the positive -axis for the first time since it left , it is on . What is ?