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Q. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are

Sequences and Series

Solution:

$a , b , c , d \rightarrow$ A.P.
Divinding by abcd $\frac{1}{ bcd }, \frac{1}{ acd }, \frac{1}{ abd }, \frac{1}{ abc } \rightarrow$ A.P.
$\therefore a b c, a b d$, acd, bcd $\rightarrow$ H.P.