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October 7th, 2015, 01:24 PM   #1
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please help

So I have to answer these two problems. 11 and 12b have to be explained in words though but I could probably use an example too.

The first one is explain why x and x+1 cannot represent two consecutive odd integers .

And the second one has two parts

First it says suppose that n and n+1 represent two consecutive integers.

a. Represent their sum in terms of n in simplest form.

b.Explain why this sum must always be odd.
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October 7th, 2015, 02:12 PM   #2
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Originally Posted by hhmathgeek View Post
n and n+1 represent two consecutive integers.

a) Represent their sum in terms of n in simplest form.

b)Explain why this sum must always be odd.
n+(n+1)=(n+n)+1=2n+1

2n is multiple of 2, so 2n is allways number even.

Hence, 2n+1 is always odd.
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October 7th, 2015, 03:24 PM   #3
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Thanks so much but I'm just a little confused. Which one did you answer?
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October 7th, 2015, 03:36 PM   #4
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Thanks so much but I'm just a little confused. Which one did you answer?
Both were answered. First line is answer to a, rest (using first line) is answer to b.
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October 7th, 2015, 03:42 PM   #5
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Oh ok thanks
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