JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    The mean of the series \[a,a+nd,\,\,a+2nd\] is [DCE 2002]

    A) \[a+(n-1)\,d\]

    B) \[a+nd\]

    C) \[a+(n+1)\,d\]

    D) None of these

    Correct Answer: B

    Solution :

    Mean \[=\frac{a+(a+nd)+(a+2nd)}{3}\]            \[=\frac{3a+3nd}{3}=a+nd\].


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