Question 629690: Which of the following pairs of expressions could represent consecutive odd numbers?
n and n + 1
n and n + 2
n and n + 3
I'm a little confused.
Found 2 solutions by 55305, jim_thompson5910:
Answer by 55305(86)   (Show Source):
You can put this solution on YOUR website! An example of consecutive odd numbers is: 1, 3, 5, 7, and so on. Consecutive odd numbers always have a difference of 2. So the only pair of expressions that have a difference of 2 is n and n+2.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! If n is odd, then n+1 is even (ex: n = 3 and n+1 = 4). So choice A is out.
n and n + 1
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
n and n + 1
n and n + 2
n and n + 3
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We've eliminated choices A and C. So all that's left is choice B.
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
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...
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So the answer is choice B
n and n + 1
n and n + 2
n and n + 3
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