For what value of x, the number `-2/7,x ,-2/7`are in G.P.?

Explanation

To determine the value of \( x \) such that the numbers \(-\frac{2}{7}, x, -\frac{2}{7}\) are in geometric progression (G.P.), we can follow these steps:

### Step 1: Understand the condition for G.P.
For three numbers \( a, b, c \) to be in G.P., the following condition must hold:
\[ b^2 = ac \]
In our case, the numbers are \( a = -\frac{2}{7} \), \( b = x \), and \( c = -\frac{2}{7} \).
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