$\begin{array}{1 1} \pm 1 \\ \pm \frac{1}{2} \\ \pm \frac{1}{7} \\ \pm 2 \end{array} $

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- If $x,y,z$ are in G.P. then common ratio $r=\large\frac{y}{x}=\frac{z}{y}$

Given that $-\large\frac{2}{7},$$x,-\large\frac{7}{2}$ are in G.P.

If $x,y,z$ are in G.P. then the common ratio $r= \large\frac{y}{x}=\frac{z}{y}$

$\Rightarrow\:\large\frac{x}{-2/7}=\frac{-7/2}{x}$

$\Rightarrow\:x^2=-\large\frac{7}{2}\times-\frac{2}{7}$

$\Rightarrow\:\:x^2=1$ or $x=\pm1$

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