The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, then prove that `y^(2)= xz.`

Explanation

To prove that \( y^2 = xz \) given that the 3rd, 7th, and 11th terms of a geometric progression (G.P.) are \( x \), \( y \), and \( z \) respectively, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Terms of G.P.**:
In a geometric progression, the \( n \)-th term can be expressed as:
\[
T_n = a \cdot r^{n-1}
...