prove using mathematical induction:`-n(n+1)(n+5)` is divisible by `6` for all natural numbers

Explanation

To prove that \(-n(n+1)(n+5)\) is divisible by \(6\) for all natural numbers \(n\) using mathematical induction, we will follow these steps:

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

\[ P(1) = -1(1 + 1)(1 + 5) = -1 \cdot 2 \cdot 6 = -12 \]
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