If four positive numbers a, b, c and d are in A.P. then prove that abc, abd, acd and bcd are in H.P.

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If a, b, c, d are in H.P. then prove that `a+d gtb+c` If a, b, c, d are in H.P. then prove that `a+d gtb+c`
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If a,b,c,d are positive numbers such that a,b,c are in A.P. and b,c,d are in H.P., then : (A) ab=cd If a,b,c,d are positive numbers such that a,b,c are in A.P. and b,c,d are in H.P., then : (A) ab=cd
If a,b,c,d are positive numbers then a/b+b/c+c/a+d/a is given by If a,b,c,d are positive numbers then a/b+b/c+c/a+d/a is given by