CEMC Fryer, 2004

Lloyd is practising his arithmetic by taking the reciprocal of a number and by adding 1 to a number. Taking the reciprocal of a number is denoted by $\xrightarrow{R}$ and adding 1 is denoted by $\xrightarrow{A}$. Here is an example of Lloyd's work, starting with an input of 2: $2 \xrightarrow{R} \frac{1}{2} \xrightarrow{A} \frac{3}{2} \xrightarrow{R} \frac{2}{3} \xrightarrow{A} \frac{5}{3} \xrightarrow{R} \frac{3}{5}$ (a) Using an input of 3, fill in the five blanks below: $3 \xrightarrow{R} \_\_\_ \xrightarrow{A} \_\_\_ \xrightarrow{R} \_\_\_ \xrightarrow{A} \_\_\_ \xrightarrow{R} \_\_\_$