In Problems 58-60, further assume that young rabbits become adults after two months and produce another pair of offspring at that time. A rabbit breeder begins with one adult pair. Let \(a_{n}\) denote the number of adult pairs of rabbits in this "colony" at the end of \(n\) months.

The growth rate of the colony during the \((n+1)\) st month is \[r_{n}=\frac{a_{n+1}}{a_{n}}\]
Compute \(r_{n}\) for \(n=1,2,3, \cdots, 10\)