A) A.P.
B) G.P.
C) H.P.
D) None of these
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.
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