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SSC Sample Paper SSC CGL - Sample Paper-24

  • question_answer
    The expression \[\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right)\left( 1+\frac{1}{5} \right)...\left( 1+\frac{1}{n} \right)\] simplifies to

    A) \[\frac{n+1}{3}\]          

    B) \[\frac{n}{n+1}\]

    C) 3                                 

    D) None of these

    Correct Answer: A

    Solution :

    \[\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right)\left( 1+\frac{1}{5} \right)...\left( 1+\frac{1}{n} \right)\] \[=\frac{4}{3}\times \frac{5}{4}\times \frac{6}{5}\times ...\times \frac{n+1}{n}\] \[=\frac{n+1}{3}\]


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