OCR MEI C1 — Question 5

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicProof

5 Given that \(n\) is a positive integer, write down whether the following statements are always true (T), always false (F) or could be either true or false (E).
  1. \(2 n + 1\) is an odd integer
  2. \(3 n + 1\) is an even integer
  3. \(n\) is odd \(\Rightarrow n ^ { 2 }\) is odd
  4. \(n ^ { 2 }\) is odd \(\Rightarrow n ^ { 3 }\) is even