Sequence And Series Question 368
Question: If $ a,\ b,\ c $ are in G.P., then
[RPET 1995]
Options:
A) $ a^{2},\ b^{2},\ c^{2} $ are in G.P.
B) $ a^{2}(b+c),\ c^{2}(a+b),\ b^{2}(a+c) $ are in G.P.
C) $ \frac{a}{b+c},\ \frac{b}{c+a},\ \frac{c}{a+b} $ are in G.P.
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
$ a=r^{2} $ are in G.P.
$ \therefore \ \frac{b}{a}=\frac{c}{b}=r $
$ \Rightarrow $ $ \frac{b^{2}}{a^{2}}=\frac{c^{2}}{b^{2}}=r^{2} $
$ \Rightarrow $ $ a^{2},,\ b^{2},\ c^{2} $ are in G.P.
BETA
