The `5^(t h)`, `8^(t h)`and `11^(t h)`terms of a G.P. are p, q and s, respectively. Show that `q^2=p s`.

Explanation

To solve the problem, we need to show that \( q^2 = ps \) given that the 5th, 8th, and 11th terms of a geometric progression (G.P.) are \( p \), \( q \), and \( s \) respectively.

### Step-by-step Solution:

1. **Understand the terms of the G.P.**:
The \( n \)-th term of a G.P. can be expressed as:
\[
T_n = a r^{n-1}
...