If `p^(t h)`, `q^(t h)`, `r^(t h)`and `s^(t h)`terms of an A.P. are in G.P. then show that`(p - q)`, `(q - r)`, `(r - s)`are also in G.P.

Explanation

To show that if \( p^{th}, q^{th}, r^{th}, s^{th} \) terms of an A.P. are in G.P., then \( (p - q), (q - r), (r - s) \) are also in G.P., we can follow these steps:

### Step 1: Define the terms in A.P.
Let the first term of the A.P. be \( a \) and the common difference be \( d \). Then, we can express the terms as follows:
- \( p^{th} \) term: \( a + (p-1)d \)
- \( q^{th} \) term: \( a + (q-1)d \)
- \( r^{th} \) term: \( a + (r-1)d \)
- \( s^{th} \) term: \( a + (s-1)d \)
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