(1²+3²+…+99²)-(2²+4²+…+100²)=?
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![(1²+3²+…+99²)-(2²+4²+…+100²)=?](/uploads/image/z/1673229-21-9.jpg?t=%EF%BC%881%26%23178%3B%2B3%26%23178%3B%2B%E2%80%A6%2B99%26%23178%3B%EF%BC%89-%EF%BC%882%26%23178%3B%2B4%26%23178%3B%2B%E2%80%A6%2B100%26%23178%3B%EF%BC%89%3D%3F)
(1²+3²+…+99²)-(2²+4²+…+100²)=?
(1²+3²+…+99²)-(2²+4²+…+100²)=?
(1²+3²+…+99²)-(2²+4²+…+100²)=?
(1²+3²+…+99²)-(2²+4²+…+100²)
=(1+2)×(1-2)+(3+4)×(3-4)+……+(99+100)×(99-100)
=(1+2+3+4+……+99+100)×(-1)
=-(1+100)×100/2
=-5050