The conversation between human and AI assistant.
Z=(1^2) - (2^2) + (3^2) - (4^2) +...- (2998^2) + (2999^2). What is the value of Z?
That's correct. How did you solve it?
The formula to find the sum of squares of consecutive odd numbers is n^3. Therefore, the sum of all the odd numbers from 1 to 2999 is (2999+1)/2 = 1500^2. And the sum of the squares of all the odd numbers from 1 to 2999 is (2999+1)/2*(2999+1)/2-1500^2 = 4,491,667.