Sign in
ui-button
ui-button
\( \Large \left(1-\frac{1}{2}\right) \left(1-\frac{1}{3}\right) \left(1-\frac{1}{4}\right) \left(1-\frac{1}{5}\right)...... \left(1-\frac{1}{m}\right)=? \)
A) \( \Large \frac{1}{m} \)
B) m
C) m+1
D) \( \Large \frac{1}{ \left(m-1\right) } \)
Correct answer:
A) \( \Large \frac{1}{m} \)
Description for Correct answer:
Given expression
=\( \Large \left(1-\frac{1}{2}\right) \left(1-\frac{1}{3}\right) \left(1-\frac{1}{4}\right) \left(1-\frac{1}{5} \right)...\left(1-\frac{1}{m-1}\right) \left(1-\frac{1}{m}\right) \)
=\( \Large \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} \times ... \times \frac{m-2}{m-1} \times \frac{m-1}{m}=\frac{1}{m} \)
Please provide the error details in above question
Report Error
Recent Activities
General Knowledge
More questions and answers on- General Knowledge
Aptitude
More questions and answers on- Aptitude
Number System
More questions and answers on- Number System
Time and Distance
More questions and answers on- Time and Distance
Average
More questions and answers on- Average
Time and work
More questions and answers on- Time and work
Simple and compound interest
More questions and answers on- Simple and compound interest
Mensuration
More questions and answers on- Mensuration
Number series
More questions and answers on- Number series
Pipes and Cisterns
More questions and answers on- Pipes and Cisterns
Linear Equations
More questions and answers on- Linear Equations
Quadratic Equations
More questions and answers on- Quadratic Equations
Simplification
More questions and answers on- Simplification
Approximation
More questions and answers on- Approximation
Word problems
More questions and answers on- Word problems