If a, b, c , d are in G.P. , then shown that
(i) `(a + b)^(2) , (b +c)^(2), (c + d)^(2)` are in G.P.
(ii) ` (1)/(a^(2) + b^(2)), (1)/(b^(2) +c^(2)), (1)/(c^(2) + d^(2))` are in G.P.

Explanation

To prove the two parts of the question, we will use the properties of geometric progression (G.P.) and the relationships between the terms.

### Given:
Let \( a, b, c, d \) be in G.P.

This means:
- \( b = ar \)
- \( c = ar^2 \)
...