Question

If a∗=a+1 and ∗a=a−1, then find the value of the following expression:


1∗−∗1+2∗−∗2+3∗−∗3+⋯+1000∗−∗1000

Answer 1

If a∗=a+1 and ∗a=a−1, then find the value of the following expression:

1∗−∗1+2∗−∗2+3∗−∗3+⋯+1000∗−∗1000