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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-1

  • question_answer
    If \[{{u}_{n}}=\frac{1}{n}-\frac{1}{n+1}\]then the value of \[{{u}_{1}}+{{u}_{2}}+{{u}_{3}}+{{u}_{4}}+{{u}_{5}}\]is:

    A)  \[\frac{1}{2}\]             

    B)  \[\frac{1}{3}\]

    C)  \[\frac{2}{5}\]             

    D)  \[\frac{5}{6}\]

    Correct Answer: D

    Solution :

     Given that \[{{u}_{n}}=\frac{1}{n}-\frac{1}{n+1}\] Now, \[{{u}_{1}}+{{u}_{2}}+{{u}_{3}}+{{u}_{4}}+{{u}_{5}}\] \[=\frac{1}{1}-\frac{1}{6}=\frac{6-1}{6}=\]


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