If k, k + 1 and k + 3 are in G.P. then find the value of k.

Explanation

To solve the problem where \( k, k + 1, k + 3 \) are in a geometric progression (G.P.), we can follow these steps:

### Step 1: Understanding the condition for G.P.
In a G.P., the ratio of consecutive terms is constant. Therefore, for three terms \( A, B, C \) in G.P., we have:
\[ \frac{B}{A} = \frac{C}{B} \]
In our case, let:
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