A) AP
B) GP
C) HP
D) None of these
Correct Answer: C
Solution :
Since, a, b, c, are in HP. \[\Rightarrow \]\[\frac{1}{a},\frac{1}{b},\frac{1}{c}\]are in AP. \[\Rightarrow \]\[\frac{a+b+c}{a},\frac{a+b+c}{b},\frac{a+b+c}{c}\]are in AP. \[\Rightarrow \]\[1+\frac{b+c}{a},1+\frac{a+c}{b},1+\frac{a+b}{c}\]are in AP. \[\Rightarrow \]\[\frac{b+c}{a},\frac{a+c}{b},\frac{a+b}{c}\]are in AP. \[\Rightarrow \]\[\frac{a}{b+c},\frac{b}{c+a},\frac{c}{a+b}\]are in HP.
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