Sequence And Series Question 209
Question: If $ a,\ b,\ c $ are in A.P., then $ \frac{1}{bc},\ \frac{1}{ca},\ \frac{1}{ab} $ will be in
[MP PET 1985; Roorkee 1975; DCE 2002]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ a,\ b,\ c $ are in A.P.
$ \Rightarrow \frac{1}{bc},\ \frac{1}{ca},\ \frac{1}{ab} $ will be in A.P. {Dividing each term by $ abc $ }