For an integer n, a student states the following: I. If n is odd, (n+1)2 is even II. If n is even, (n−1)2 is odd III. If n is even, √n−1 is irrational. Which of the above statements would be true?

For an integer n, a student states the following: I. If n is odd, (n+1

1.	For an integer n, a student states the following: I. If n is odd, (n+1)2 is even II. If n is even, (n−1)2 is odd III. If n is even, √n−1 is irrational. Which of the above statements would be true?
Answer» For an integer n, a student states the following: I. If $n$ is odd, $(n + 1)^{2}$ is even II. If $n$ is even, $(n - 1)^{2}$ is odd III. If $n$ is even, $\sqrt{n - 1}$ is irrational. Which of the above statements would be true?

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For an integer n, a student states the following: I. If n is odd, (n+1)2 is even II. If n is even, (n−1)2 is odd III. If n is even, √n−1 is irrational. Which of the above statements would be true?

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