If the `4^(t h)`, `10^(t h)`and `16^(t h)`terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

Explanation

To prove that the terms \( x, y, z \) (which are the 4th, 10th, and 16th terms of a geometric progression) are themselves in geometric progression, we need to show that \( y^2 = xz \).

### Step-by-Step Solution:

1. **Define the terms of the GP**:
Let the first term of the geometric progression (GP) be \( A \) and the common ratio be \( R \). The \( n \)-th term of a GP is given by:
\[
T_n = A \cdot R^{n-1}
...