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

  • question_answer
    The sum of the numbers between 100 and 1000 which is divisible by 9 will be [MP PET 1982]

    A) 55350

    B) 57228

    C) 97015

    D) 62140

    Correct Answer: A

    Solution :

    Series \[108+117+........+999\] is an A.P. where \[a=108\], common difference \[d=9\], \[n=\frac{999}{9}-\frac{99}{9}=111-11=100\] Hence required sum =\[\frac{100}{2}(108+999)=50\times 1107=55350\].


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