If x,1,z are in A.P. x,2,z are in G.P., show thast `1/x,1/4,1/z` are in A.P.

If x,1,z are in A.P. x,2,z are in G.P., show that 1/x,1/4,1/z are in A.P.

If x,1,z are in A.P. and x,2,z are in G.P., then x,4,z are in

If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in A.P., then x/z+z/x is equal to

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

If x,y,z are in A.P.;ax,by,cz are in GP and (1)/(a),(1)/(b),(1)/(c) are in A.P., then (x)/(z)+(z)/(x) is equal to

Let a(a != 0) is a fixed real number and (a-x)/(px)=(a-y)/(qy)=(a-z)/(rz) . If p, q, r are in A.P., show that 1/x,1/y,1/z are in A.P.

Let a(a != 0) is a fixed real number and (a-x)/(p x) = (a-y)/(qy) = (a-z)/(r z) . If p, q, r are in A.P., show that (1)/(x), (1)/(y), (1)/(z) are in A.P.

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.