Question 629690
If n is odd, then n+1 is even (ex: n = 3 and n+1 = 4). So choice A is out.


<s>n and n + 1</s>
n and n + 2
n and n + 3 


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If n is odd, then n+3 will be even. For example, if n = 7, then n+3 = 7+3 = 10.


So choice C is out


<s>n and n + 1</s>
n and n + 2
<s>n and n + 3</s>

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We've eliminated choices A and C. So all that's left is <font color="red">choice B</font>.


Notice how when n is odd, n+2 is also odd. 


Examples: 


n = 3, n+2 = 5
n = 5, n+2 = 7
n = 7, n+2 = 9
n = 9, n+2 = 11
...
...
...


So the answer is <font color="red">choice B</font>


<s>n and n + 1</s>
<font color="red">n and n + 2</font>
<s>n and n + 3</s>


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