Write S_k and S_{k + 1} for the given statement S_n where n is any positive integer. Simplify S_{k + 1} fully.
S_n: 2 is a factor of n² + 3n.

• A. S_k: 2 is a factor of k² + 3k and S_{k + 1}: 2 is a factor of k² + 2k + 4
• B. S_k: 2 is a factor of k² + k and S_{k + 1}: 2 is a factor of k² + 5k + 4
• C. S_k: 2 is a factor of k² + 3k and S_{k + 1}: 2 is a factor of k² + 3k + 4
• D. S_k: 2 is a factor of k² + 3k and S_{k + 1}: 2 is a factor of k² + 5k + 4

Answer: (D)