JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    The value of the expression \[{{\left( \frac{1.2.4+2.4.8+.........+n.2n.4n}{1.3.9.+2.6.18+........+n.3n.9n} \right)}^{\frac{1}{3}}}\] , is

    A) \[\frac{1}{3}\]       

    B)                                    \[\frac{2}{3}\]

    C) \[\frac{4}{9}\]                                   

    D) \[\frac{8}{27}\]

    Correct Answer: B

    Solution :

    \[\left( \frac{\sum\limits_{r=1}^{n}{8{{r}^{3}}}}{\sum\limits_{r=1}^{n}{27{{r}^{3}}}} \right)={{\left( \frac{8}{27} \right)}^{1/3}}=\frac{2}{3}\]


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