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  • For what values of x, the numbers - 2/ 7 , x , - 7 /2 are in G.P.?

6.  For what values of x, the numbers -\frac{2}{7} ,x, -\frac{7}{2}  are in G.P.?

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GP=-\frac{2}{7} ,x, -\frac{7}{2}

Common ratio=r.

r=\frac{x}{\frac{-2}{7}}=\frac{\frac{-7}{2}}{x}

\Rightarrow x^2=1

\Rightarrow x=\pm 1

Thus, for x=\pm 1 ,given numbers will be in GP.

Posted by

seema garhwal

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