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

  • question_answer
    The sum of 3 numbers in geometric progression is 38 and their product is 1728. The middle number is [MP PET 1994]

    A) 12

    B) 8

    C) 18

    D) 6

    Correct Answer: A

    Solution :

    Let the three numbers be \[\frac{a}{r},\ a\] and \[ar\], then \[{{a}^{3}}=1728\]\[\Rightarrow \]\[a=12\] Hence the middle term is 12.


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