Sequence And Series Question 191
Question: If three numbers be in G.P., then their logarithms will be in
[BIT 1992]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Let three number $ a,\ b $ and $ c $ in G.P., then $ b^{2}=ac $
$ \Rightarrow $ $ 2{\log_{e}}b={\log_{e}}a+{\log_{e}}c $ or $ {\log_{e}}b=\frac{{\log_{e}}a+{\log_{e}}c}{2} $ Thus their logarithms are in A.P.
BETA
