The least positive integer n such that $\;1-\large\frac{2}{3} -\large\frac{2}{3^{2}}- ..... -\large\frac{2}{3^{n-1}} < \large\frac{1}{100}\;$, is :

Question

$(a)\;4\qquad(b)\;5\qquad(c)\;6\qquad(d)\;7$