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 $ }