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

  • question_answer
    Let the positive numbers a, b, c, d be in A.P.,  then abc, abd acd, bcd are [IIT Screening 2001]

    A) Not in A.P./G.P./H.P.

    B) In A.P.

    C) In G.P.

    D) In H.P.

    Correct Answer: D

    Solution :

    \[a,b,c,d\] are in A.P. Þ \[\frac{a}{abcd},\frac{b}{abcd},\frac{c}{abcd},\frac{d}{abcd}\] are in A.P. \[\therefore \,\frac{1}{bcd},\frac{1}{acd},\frac{1}{abd},\frac{1}{abc}\] are in A.P. \[\therefore bcd,acd,abd,abc\] are in H.P. \[\therefore \] In reverse order abc,\[abd,\,acd,\,bcd\] are in H.P.


You need to login to perform this action.
You will be redirected in 3 sec spinner