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 \( x, y, z \) are in a geometric progression (G.P.), we start by expressing \( x, y, z \) in terms of a general G.P.

### Step 1: Define the terms of the G.P.
Let the first term of the G.P. be \( A \) and the common ratio be \( R \). Then, we can express the terms as follows:
- The 4th term: \( x = A R^3 \)
- The 10th term: \( y = A R^9 \)
- The 16th term: \( z = A R^{15} \)

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