Question

If a, b, c are in G.P. and  a^x = b^y = c^z , then prove that 1/x + 1/z = 2/y.

Answer 1

Let a^x= b^y = C^z = k

Then a = k^1/x

b = k^1/y

c = k^1/z

and a, b, c are in G.P.

b² = ac

Putting the value of a, b, c in equation (i),