Question

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

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

Answer: (C)

6

Answer 2

$1-2\left(\frac{1}{3^{1}}+\frac{1}{3^{2}} \ldots \ldots . \frac{1}{3^{ n -1}}\right)