MathDB

B5

Part of 1958 November Putnam

Problems(1)

Putnam 1958 November B5

Source: Putnam 1958 November

7/19/2022
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 θ.\theta. 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?
Putnambroken line