A) \[\frac{37}{1000}\]
B) \[\frac{1}{27}\]
C) \[\frac{1}{37}\]
D) \[\frac{37}{999}\]
Correct Answer: D
Solution :
Given series 0.037037037?? = 0.037+0.000037+0.0000000037+??. = \[\frac{37}{{{10}^{3}}}+\frac{37}{{{10}^{6}}}+\frac{37}{{{10}^{9}}}+......\] = \[37\left[ \frac{1}{{{10}^{3}}}+\frac{1}{{{10}^{6}}}+\frac{1}{{{10}^{9}}}+.... \right]\] = \[37\left[ \frac{1/{{10}^{3}}}{1-1/{{10}^{3}}} \right]=37\left[ \frac{1}{{{10}^{3}}}.\frac{{{10}^{3}}}{999} \right]\]= \[\frac{37}{999}\].
You need to login to perform this action.
You will be redirected in
3 sec
