计算1-2²+3²-4²+5²-6²+……+99²-100²
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计算1-2²+3²-4²+5²-6²+……+99²-100²
计算1-2²+3²-4²+5²-6²+……+99²-100²
计算1-2²+3²-4²+5²-6²+……+99²-100²
1²-2²+3²-4²+5²-6²+……+99²-100²
=(1²-2²)+(3²-4²+(5²-6²)+……+(99²-100²)
=(1-2)(1+2)+(3-4)(3+4)+(5-6)(5+6)+……+(99-100)(99+100)
=-(1+2)-(3+4)-(5+6)-……-(99+100)
=-(1+2+3+4+5+6+……+99+100)
=-5050
=(1-2)(1+2)+(3-4)(3+4)+......+(99-100)(99+100)
=-(1+2+3+......+99+100)
=-5050
1-2²+3²-4²+5²-6²+……+99²-100²
=(1+2)(1-2)+(3+4)(3-4)+……+(99+100)(99-100)
=-(1+2+3+4+……+99+100)
=-5050