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The sum of two even numbers is always an even number. The sum of two odd numbers is always an even number.
The sum of an even number and an odd number is always an odd number.
Because integers alternate between even and odd, adding two consecutive integers will always result the sum of an odd number and an even number, which, as stated above, will always be an odd number.
Another way to look at it:
An even number is divisible by 2, therefore, 2*n (where n is an integer) is always an even number.
2*n+1 would be the next number after 2*n (so 2*n & 2*n+1 are consecutive integers).
If we add these numbers together, we get 4*n+1 = 2(2*n)+1. Since 2(2*n) is an even number, adding 1 makes it an odd number.
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I'm not going to but in or anything, seriously that was a good answer
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What are consecutive integers with the sum of 116?
The sum of two consecutive integers will always be an odd number.
Will the product of two consecutive integers be odd or even?
It will alway be even, because it will always be the product of an odd and an even number, which is always even.
How do I find two consecutive odd integers that equal 255?
The sum of two consecutive odd integers is an even number. There is no possible answer to this question.
What are the consecutive odd integers of 152?
find the two consecutive odd integers with a sum of 152
If sum of two consecutive integers is 228 find the integers?
The sum of any two consecutive integers must be an odd number. So this question is incorrect.
