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The answer depends on how many odd numbers are being added together: even numbers make no difference.If the count of odd numbers is odd then the total is odd, andff the count of odd numbers is even then the total is even.
Count how many of the numbers are odd. If an odd number of them are odd, then their sum is odd. If an even number of them are odd, then their sum is even.
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Yes, all you have to do is to count the number of ODD numbers in the list. If it is odd, then the sum will be odd; if even, so will the sum. Knowing this can help you run a quick validity check when you sum up a list of numbers. (The method works because: a) the sum of two even numbers is even, and b) the sum pf two odd numbers is even, but c) the sum of an even number and an odd number is odd. Hence, if you only determine whether there are any unpaired odd numbers, you know the answer.)
Count the number of negative numbers. If this is an even number, the sign is + and if it is odd, the sign is -.