Sequence And Series Question 186

Question: If $ a,\ b,\ c $ are in A.P., then $ \frac{a}{bc},\ \frac{1}{c},\ \frac{2}{b} $ are in

[MNR 1982; MP PET 2002]

Options:

A) A.P.

B) G.P.

C) H.P.

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

$ a,\ b,\ c $ be in A.P. then divide each term by $ bc $ , we get $ \frac{a}{bc},\ \frac{1}{c},\ \frac{1}{b} $ be in A.P. But it is $ \frac{2}{b} $ in place of $ \frac{1}{b} $ , so answer is (d).