(A) If three numbers $a, b, c$ are in $G.P.,$ then $b^2 = ac.$Here,$a = -\frac{2}{7},$ $b = x,$ and $c = -\frac{7}{2}.$Substituting these values into

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(A) If three numbers $a, b, c$ are in $G.P.,$ then $b^2 = ac.$Here,$a = -\frac{2}{7},$ $b = x,$ and $c = -\frac{7}{2}.$Substituting these values into the formula:$x^2 = \left(-\frac{2}{7}\right) \times \left(-\frac{7}{2}\right)$$x^2 = 1$$x = \pm 1$Therefore,the values of $x$ are $1$ and $-1.$

Competitive Quantitative Aptitude Progression and Sequence Progression and Sequence

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

A
$1, -1$
B
$1, -3$
C
$1, -5$
D
$2, -2$

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

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