Even and odd are not the same thing.
Even can mean level, flat, equal, parallel, etc. Odd can mean differing from what is normal/expected, peculiar, bizarre, more or less (as in I owe three hundred-odd dollars), etc.
In mathematical terms, even means numbers that can be divided by two without decimals, whereas if you divide odd numbers by two there will be a decimal.
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No. In fact, no number can be both odd and even at the same time.
They have only one thing in common. By adding 1 to either an even number or an odd number makes them opposite. (even becomes odd and odd becomes even).
Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.
Neither. If it was odd, you could simply add 1 to make it even, and this even number would be infinity as well; then you can do the same to make it odd again.
Never. When you dont add the same odd number and even number of times. For example: 5 + 3 (2 odd numbers; and even amount of odd numbers ) = 8 5 + 3 + 7 = 15 an odd amount of odd numbers 5 + 3 + 7 + 9 = 24 another even amount of odd numbers. But never if you use the only same number