Which of the following statements is true about the numbers below?

(i) $\displaystyle{0.12345678901234567890}\ldots\usepackage{cmbright}\Huge\$ (the digits cycle through repeatedly)

(ii) $\displaystyle{0.101001000100001000001000001}\ldots\usepackage{cmbright}\Huge\$ (the number of 0s inbetween the 1s increases by one each time)