Question

If 5th, 8th and 11th terms of a G.P. are x, y and z respectively, then, which one of the following is correct?

Options

• $$y^{2} = x^{2}z^{2}$$

• $$y^{2} = x^{2} + z^{2}$$

• $$y^{2} = xz$$

• $$xyz = 1$$

Answer 1

y² = xz

Explanation: 

The eighth term lies midway between the fifth and eleventh terms in the progression, so its square is the product of those terms $$y^2 = xz$$.