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.

If a,b,c and d are in H.P.,then prove that (b+c+d)/a,(c+d+a)/b,(d+a+b)/c and (a+b+c)/d, are in A.P.

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

Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b d ,a c d ,a n db c d are a. not in A.P. /G.P./H.P. b. in A.P. c. in G.P. d. in H.P.

Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b d ,a c d ,a n db c d are a. not in A.P. /G.P./H.P. b. in A.P. c. in G.P. d. in H.P.

If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A.P.

If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.