Question

For what value of $x$ the numbers $\frac{-2}{7},x,\frac{-7}{2}$ are in $G.P$.

Answer 1

$-\frac{2}{7},x,-\frac{7}{2}-----G.P.$

$x=\sqrt{-\frac{2}{7}\cdot -\frac{7}{2}}$

$=\sqrt{1}$

$x=1$

We get, $x=1.$