A) HP
B) AP
C) GP
D) None of the above
Correct Answer: A
Solution :
[a] Given, a, b, c, d are in A.P. \[\Rightarrow \,\,\,\frac{1}{a},\frac{1}{b},\frac{1}{c},\frac{1}{d}\] are in H.P. \[\Rightarrow \,\,\,\frac{1}{d},\frac{1}{c},\frac{1}{b},\frac{1}{a}\] are also in H.P. Now, multiply each term by abed. \[\frac{abcd}{d},\frac{abcd}{c},\frac{abcd}{b},\frac{abcd}{a}\] \[abc,\text{ }abd,\text{ }acd,\text{ }bcd,\] are in H.P.
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