Sequence And Series Question 185
Question: If $ a,\ b,\ c $ be in A.P. and $ b,\ c,\ d $ be in H.P., then
Options:
A) $ ab=cd $
B) $ ad=bc $
C) $ ac=bd $
D) $ abcd=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
Given that $ a,\ b,\ c $ in A.P. and $ b,\ c,\ d $ in H.P. So, $ 2b=a+c $ and $ c=\frac{2bd}{b+d} $
$ \Rightarrow $ $ c(b+d)=2bd=(a+c)d $
$ \Rightarrow $ $ bc=ad $ .
BETA
