Sequence And Series Question 427
Question: If the positive integers a, b, c, d are in AP, then the numbers abc, abd, acd, bcd are in
Options:
HP
AP
GP
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
Given that 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 abcd. $ \frac{abcd}{d},\frac{abcd}{c},\frac{abcd}{b},\frac{abcd}{a} $ $ abc,abd,acd,bcd, $ are in H.P.
BETA
