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

  • question_answer
    After inserting \[n\] A.M.'s between 2 and 38, the sum of the resulting progression is 200. The value of  \[n\] is [MP PET 2001]

    A) 10

    B) 8

    C) 9

    D) None of these

    Correct Answer: B

    Solution :

    The resulting progression will have \[n+2\] terms with 2 as the first term and 38 as the last term. Therefore the sum of the progression \[=\frac{n+2}{2}(2+38)=20(n+2)\]. By hypothesis, \[20(n+2)=200\]\[\Rightarrow \]\[n=8\].


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