Is the sum of 1000 consecutive natural numbers odd or even? Why?

Is the sum of 1000 consecutive natural numbers odd or even? Why?

Tina,
The sum of 1000 consecutive natural numbers is even
Because there must be 500 even numbers and 500 odd numbers in 1000 continuous natural numbers,
The result of adding even odd numbers is even, so the sum of 1000 continuous natural numbers is even