CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    7th term of an A.P. is 40. Then the sum of first 13 terms is :

    A)  520                                       

    B)  53

    C)  2080                                     

    D)  1040

    Correct Answer: A

    Solution :

    In A.P. \[{{T}_{n}}=a+(n-1)\,d\] \[{{T}_{7}}=a+6d=40\]   [Given] and        \[{{S}_{n}}=\frac{n}{2}\,[2a+(n-1)\,d]\] \[\therefore \]  \[{{S}_{13}}=\frac{13}{2}\,[2a+12d]\]                 \[=13\,[a+6d]\]                 \[=13\times 40\]              \[\because \,\,[a+6d=40]\] = 520


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