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

  • question_answer
    There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is [MP PET 1994]

    A) 23

    B) 26

    C) 29

    D) 32

    Correct Answer: B

    Solution :

    According to the given condition \[\frac{15}{2}[10+14\times d]=390\]\[\Rightarrow \]\[d=3\] Hence middle term \[i.e.\]\[{{8}^{th}}\] term is given by \[5+7\times 3=26\].


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