JEE Main & Advanced Mathematics Sequence & Series Question Bank Relation between AP., GP. and HP.

  • question_answer
    The geometric mean of two numbers is 6 and their arithmetic mean is 6.5 . The numbers are [MP PET 1994]

    A) (3, 12)

    B) (4, 9)

    C) (2, 18)

    D) (7, 6)

    Correct Answer: B

    Solution :

    According to condition \[=\frac{n(n+1)}{2}\left[ \frac{n(n+1)}{2}+\frac{2n+1}{3} \right]\] and \[a+b=13\] On solving, we get \[a=4,\ b=9\].


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