Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product
, in which the products of <em>n</em> terms is
.
In this particular case,
,
,
, ..... , in which each term follows a recursive formula of
. Therefore,
