Question 156
The Fibonacci numbers are defined by $F_{1} = F_{2} = 1$, and $F_{n} = F_{n-1} + F_{n-2}$ for $n \geq 3$. If the number
$$
\frac{F_{2003}}{F_{2002}} - \frac{F_{2004}}{F_{2003}}
$$
is written as a fraction in lowest terms, what is the numerator?
$$
\frac{F_{2003}}{F_{2002}} - \frac{F_{2004}}{F_{2003}}
$$
is written as a fraction in lowest terms, what is the numerator?