Show by using the principle of mathematical induction that for all natural number `n gt 2, 2^(n) gt 2n+1`

Explanation

To prove the statement \( 2^n > 2n + 1 \) for all natural numbers \( n > 2 \) using the principle of mathematical induction, we will follow these steps:

### Step 1: Base Case
We start by checking the base case, which is \( n = 3 \).

\[ 2^3 = 8 \]
...