Putnam 1958 November B5
Source: Putnam 1958 November
July 19, 2022
Putnambroken line
Problem Statement
The lengths of successive segments of a broken line are represented by the successive terms of the harmonic progression 1, 1\slash 2, 1\slash 3, \ldots. Each segment makes with the preceding a given angle What is the distance and what is the direction of the limiting points (if there is one) from the initial point of the first segment?