If `a ,\ b\ c` are in G.P., prove that the following are also in G.P.: `a^2, b^2, c^2`

Explanation

To prove that if \( a, b, c \) are in G.P., then \( a^2, b^2, c^2 \) are also in G.P., we can follow these steps:

### Step-by-Step Solution:

1. **Understanding G.P.**:
Since \( a, b, c \) are in geometric progression (G.P.), we can express \( b \) in terms of \( a \) and \( c \). Specifically, we have:
\[
b^2 = ac
...