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

  • question_answer
    The 4th term of a H.P. is \[\frac{3}{5}\] and 8th term is \[\frac{1}{3},\] then its 6th term is [MP PET 2003]

    A) \[\frac{1}{6}\]

    B) \[\frac{3}{7}\]

    C) \[\frac{1}{7}\]

    D) \[\frac{3}{5}\]

    Correct Answer: B

    Solution :

    \[a+3d=\frac{5}{3}\]and \[a+7d=3\] Solving, \[a=\frac{2}{3},d=\frac{1}{3}\] 6th term of A.P. \[=a+5d=\frac{2}{3}+\frac{5}{3}=\frac{7}{3}\] Þ  6th term of H.P. =\[\frac{3}{7}\].


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