3 You are given that \(n , n + 1\) and \(n + 2\) are three consecutive integers.
- Expand and simplify \(n ^ { 2 } + ( n + 1 ) ^ { 2 } + ( n + 2 ) ^ { 2 }\).
- For what values of \(n\) will the sum of the squares of these three consecutive integers be an even number? Give a reason for your answer.