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

  • question_answer
    If \[a,\ b,\ c\] are in A.P., then\[\frac{a}{bc},\ \frac{1}{c},\ \frac{2}{b}\] are in [MNR 1982; MP PET 2002]

    A) A.P.

    B) G.P.

    C) H.P.

    D) None of these

    Correct Answer: D

    Solution :

    \[a,\ b,\ c\] be in A.P. then divide each term by \[bc\], we get \[\frac{a}{bc},\ \frac{1}{c},\ \frac{1}{b}\] be in A.P. But it is \[\frac{2}{b}\] in place of \[\frac{1}{b}\], so answer is (d).


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