Question

PLEASE ANSWER ASAP! IMPORTANT! MUST BE CORRECT! GIVING OUT POINTS!

Answer 1

So an even number is represented as 2n where n= a whole number
an odd is 1 more than an even so 2n+1 is odd

so even+odd=2n+2n+1=4n+1=
we see 2 2n's in there which are even
(even)+(even)+1
we know that even+even=even try that withe any 2 even numbers
then +1 means it's odd so therefor it is always true

Answer 2

Try adding some of these together to look for the pattern: 

-13 +16 = 3 odd+even = odd 

-7 + 16 = 9 

how about -13 + -7 = -20 

-8 + 16 = 8 

It looks like 

even + even = even 
odd + odd = even 

even + odd = odd 

So, we only get an odd result in this case. It seems that it is always true.