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.
_________________________________________________________________________
I'm not going to but in or anything, seriously that was a good answer
Chat with our AI personalities
The sum of two consecutive integers will always be an odd number.
It will alway be even, because it will always be the product of an odd and an even number, which is always even.
The sum of two consecutive odd integers is an even number. There is no possible answer to this question.
find the two consecutive odd integers with a sum of 152
The sum of any two consecutive integers must be an odd number. So this question is incorrect.