2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Sequence & Series

JEE Main & Advanced Mathematics Sequence & Series Question Bank Mock Test - Sequences and Series

  • question_answer
    a, b, c, d,\[\in {{R}^{+}}\] such that a, b, and c are in A.P. and b, c and , d are in H.P., then

    A) ab = cd

    B) ac = bd

    C) bc = ad          

    D) None of these

    Correct Answer: C

    Solution :

    [c] \[2b=a+c,c=\frac{2bd}{b+d}\] \[\Rightarrow 2bd=c(b+d)\] \[\Rightarrow (a+c)d=c(b+d)\]     \[[as2b=a+c]\]  \[\Rightarrow ad+cd=bc+cd\] \[\Rightarrow bc=ad\]


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