JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

  • question_answer
    Let \[a{{  }_{1}},{{a}_{2}},{{a}_{3}}........\,\,{{a}_{n}}..........\]be in A.P. If \[{{a}_{3}}+{{a}_{7}}+{{a}_{11}}+{{a}_{15}}=72\] then the sum of its first 17 terms is equal to   JEE Main Online Paper (Held On 10 April 2016)

    A) 153                                           

    B) 306

    C) 612                                           

    D) 204

    Correct Answer: B

    Solution :

    \[{{a}_{1}},{{a}_{2}},{{a}_{3}}\,...........\,{{a}_{n}}\,...........\,\] are in A.P. \[{{a}_{3}}+{{a}_{15}}={{a}_{7}}+{{a}_{11}}={{a}_{1}}+{{a}_{17}}=36\] sum of first 17 term            \[=\frac{17}{2}({{a}_{1}}+{{a}_{17}})\]                                                    \[=\frac{17}{2}\times 36\]                                                    \[=17\times 18\]                                                    \[=306\]                              


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