If x,y and z are pth ,qth and rht terms, respectively of an A.P and also of a G.P then prove that `x^(x-y)y^(z-x)z^(x-y)=1`

If x, y and z are pth, gth and rth terms respectively of an A.P and also of a G.P. then x^(y-z)*y^(z-x)*z^(x-y) is equal to

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

If x,y,z are respectively p^(th), q^(th) and r^(th) terms of a G.P show that x^(q-r) xx y^(r-p) xx z^(p-q)=1 .

If x,y and z are in A.P ax,by and cz in G.P and a, b, c in H.P then prove that x/z+z/x=a/c+c/a

If a, b, c are three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that x^(b-c)timesy^(c-a)timesz^(a-b)=1

If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H.P. then prove that x/z+z/x=a/c+c/a .

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.