Question

`-5/3`, x and `(-3)/5` are three consecutive terms of a G.P. Find the value(s) of x.

Answer 1

Given,

`-5/3`, x and `(-3)/5` are three consecutive terms of a G.P.

∴ `x/(−5/3) = (−3/5)/x`

⇒ `x^2 = −3/5 × −5/3`

⇒ x² = 1

⇒ x = `sqrt1`

= ± 1