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

Explanation

To find the value of \( x \) such that the numbers \(-\frac{2}{7}, x, -\frac{2}{7}\) are in geometric progression (G.P.), we can use the property of G.P. that states if three numbers \( a, b, c \) are in G.P., then \( b^2 = a \cdot c \).

### Step-by-Step Solution:

1. **Identify the terms**:
Let \( a = -\frac{2}{7} \), \( b = x \), and \( c = -\frac{2}{7} \).

2. **Apply the G.P. condition**:
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