1+(-2)+(-3)+4+5+(-6)+(-7)+8+9+...+(-2021)+(-2022)

To find the sum of the given series, we can group the terms in pairs such that each pair adds up to zero.

For example, (-2) + 2 = 0, (-3) + 3 = 0, and so on.

We can see that there are 1011 pairs in the series, as each pair consists of two consecutive numbers.

Therefore, the sum of the series is 0 multiplied by 1011, which is equal to 0.