The difference between `(n + 2)^(th)` Bohr radius and nth Bohr radius is equal to the `(n – 2)^(th)` Bohr radius. The value of n is ?

Explanation

To solve the problem, we need to find the value of \( n \) such that the difference between the \((n + 2)^{th}\) Bohr radius and the \(n^{th}\) Bohr radius is equal to the \((n - 2)^{th}\) Bohr radius.

### Step-by-Step Solution:

1. **Understanding the Bohr Radius Formula**:
The Bohr radius for the \(n^{th}\) orbital is given by:
\[
r_n = \frac{0.529 \, n^2}{Z}
...