[Value = 6 points]
What integer is closest to the value of 1000 times the sum of the expression 1⁄n2-4 evaluated for every integer value of n from n=3 to n = 10000 inclusive.
(That is, what is the closest integer to 1000(1⁄32-4 + 1⁄42-4 + ... + 1⁄100002-4)?)
