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

  • question_answer
    If \[a,\ b,\ c\] are in A.P. and \[a,\ c-b,\ b-a\] are in G.P. \[(a\ne b\ne c)\], then \[a:b:c\] is

    A) \[1:3:5\]

    B) \[1:2:4\]

    C) \[1:2:3\]

    D) None of these

    Correct Answer: C

    Solution :

    Check by options (a) 1, 3, 5 are in A.P. but 1, 5 - 3, 3 - 1 \[i.e.\], 1, 2, 2  are not in G.P. (b) 1, 2, 4 are not in A.P. (c) 1, 2, 3 are in A.P. and 1, \[3\ -2,\ 2-1\ i.e.,\ \]1, 1, 1 are also in G.P.


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