If the 4th, 10th and 16th 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 4th, 10th, and 16th terms of a geometric progression (G.P.) are also in G.P., we start by expressing these terms in terms of the first term and the common ratio of the G.P.

### Step-by-Step Solution:

1. **Identify the terms of the G.P.:**
Let the first term of the G.P. be \( a \) and the common ratio be \( r \).
- The 4th term \( x \) can be expressed as:
\[
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