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

  • question_answer
    \[{{7}^{th}}\] term of an A.P. is 40, then the sum of first 13 terms is  [Karnataka CET 2003]

    A) 53

    B) 520

    C) 1040

    D) 2080

    Correct Answer: B

    Solution :

    \[{{7}^{th}}\]term of an A.P. \[=40\] \[a+6d=40\] \[{{S}_{13}}=\frac{13}{2}[2a+(13-1)d]=\frac{13}{2}[2(a+6d)]\] \[=\frac{13}{2}\ .\ 2\ .\ 40=520\].


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