Because they are one more than the even numbers
If at least one of the numbers is even, the result will be even. Otherwise all the numbers are odd and the result will be odd.
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
Any pair of one even and one odd number will have an even product and an odd sum.
There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
If you multiply one even number by one odd number, the result is always even. In general, if you multiply several numbers, and at least one of the numbers is even, the product is always even. This is because "even" means "multiple of 2", and if one of the factors contains a 2 as a factor, so will the product.
Because they are one more than the even numbers
If at least one of the numbers is even, the result will be even. Otherwise all the numbers are odd and the result will be odd.
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
Since odd numbers are in a ratio of 1:2 it means for every one odd there will be one even, there would be 50 odd numbers between 1-100, and 50 even numbers. So 50%.
There's only one even prime, the rest are odd.
37
Any pair of one even and one odd number will have an even product and an odd sum.
There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
Odd. All numbers ending in one are odd.
Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.