A converging telescopic product : an honors thesis (HONRS 499)

Abstract

The key result of this paper is a sequence of products which converges to a number of the form mr, where m is an integer such that m > 2 and r is rational. Before the key theorem is presented, the reader is given a brief summary of product sequences and the techniques used to treat them. Then, after the statement and proof of the key theorem, the result is generalized in a corollary to encompass sequences converging to numbers of the form qr, where both q and r are rational.