[" If "a^((1)/(x))=b^((1)/(y))=c^((1)/(z))" and "a,b,c" are in G.P."],[" prove that "x,y,z" ."]

If a^(1//x) =b^(1//y) =c^(1//z) and a,b,c are in G.P . Then :

If a^(x) = b^(y) = c^(z) and a, b, c, are in G.P., prove that x, y, z are in H.P.

If a,b,c are in geometric progression and if a^((1)/(x))=b^((1)/(y))=c^((1)/(z)) , then prove that x,y,z are in arithmetic progression.

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

If a^(x) = b^(y) = c^(z) and a,b,c are in G.P. , then x,y,z are in :

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

a^(x) = b^(y) = c^(z) = d^(t) and a,b,c,d are in G.P. , then x,y,z,t are in :

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