Resumen de Extending the rubber rope: convergent series, divergent series and the integrating factor

Mark McCartney

• A well-known mathematical puzzle regarding a worm crawling along an elastic rope is considered. The resulting generalizations provide examples for use in a teaching context including applications of series summation, the use of the integrating factor for the solution of differential equations, and the evaluation of definite integrals. A number of potential classroom exercises are given.