The combined resistance of n n\,n identical resistors, each of resistance rrr, connected in parallel is denoted as RpR_{p}Rp. Which of the following statements correctly describes the relationship between RpR_{p}Rp and n n\,n as n n\,n increases?
RpR_{p}Rp increases linearly as nnn increases
RpR_{p}Rp increases non-linearly as nnn increases
RpR_{p}Rp decreases linearly as nnn increases
RpR_{p}Rp decreases non-linearly as nnn increases