Question

For given G.P. $1,\frac{1}{10},\frac{1}{100},\frac{1}{1000},\frac{1}{10000},..$ find the common ratio.

• A. $\frac{1}{10}$
• B. $\frac{1}{100}$
• C. $\frac{1}{50}$
• D. $\frac{3}{10}$

Answer 1

The correct option is A $\frac{1}{10}$

Given sequence of G.P. is $1,\frac{1}{10},\frac{1}{100},\frac{1}{1000},\frac{1}{10000},.....$

Lets find out the common ratio as following

$=\frac{\frac{1}{10}}{1}=\frac{1}{10}$$\times \frac{\frac{1}{100}}{\frac{1}{10}}=\frac{1}{10}$

Here the common ratio of given G.P. is $\frac{1}{10}$.