Algebra Pre-Algebra and Basic Algebra Math Forum

 October 7th, 2015, 02:24 PM #1 Member   Joined: Sep 2015 From: Philadelphia Posts: 36 Thanks: 3 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.
October 7th, 2015, 03:12 PM   #2
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 Originally Posted by hhmathgeek 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.

 October 7th, 2015, 04:24 PM #3 Member   Joined: Sep 2015 From: Philadelphia Posts: 36 Thanks: 3 Thanks so much but I'm just a little confused. Which one did you answer?
October 7th, 2015, 04:36 PM   #4
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 Originally Posted by hhmathgeek 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.

 October 7th, 2015, 04:42 PM #5 Member   Joined: Sep 2015 From: Philadelphia Posts: 36 Thanks: 3 Oh ok thanks

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