Question

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

Answer 1

Answer:

:z , c = ky, b = kxa = k k (let) =z = c1/y = b1/x1/a

now a,b,c are in g.p. (given)

hence b/a = c/b

ky / kx = kz / ky

k(2y) = k(x +z)

hence 2y = x + z

hence x, y, z will be in A.P

Answer 2

Answer:

See,this it is the answer...