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 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, 8, b are in A.P. , a, 4, b are in G.P. and a , x, b are in H.P. then x=………….

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.

If a,8,b are in A.P and a,4,b are in G.P and a,x ,b are in H.P then x = ………….

If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a n dc r are in G.P., then p/r+r/p is equal to a/c-c/a b. a/c+c/a c. b/q+q/b d. b/q-q/b

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

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that x=9z and gt0,bgt0 , then

If x ,y ,a n dz are in G.P. and x+3+,y+3,a n dz+3 are in H.P., then y=2 b. y=3 c. y=1 d. y=0

If a , b ,a n dc are in G.P., then a+b ,2b ,a n db+c are in a. A.P b. G.P. c. H.P. d. none of these