如题所述
(2²+4²+……+100²)-(1²+3²+……+99²)
=(2²-1²)+(4²-3²)+(6²-5²)+……+(100²-99²)
=(1+2)+(3+4)+(5+6)+……+(99+100)
=5050
=(2²-1²)+(4²-3²)+(6²-5²)+……+(100²-99²)
=(1+2)+(3+4)+(5+6)+……+(99+100)
=5050
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第1个回答 2012-10-08
(2²+4²+……+100²)-(1²+3²+……+99²)
=(2²-1²)+(4²-3²)+(6²-5²)+……+(100²-99²)
=(1+2)+(3+4)+(5+6)+……+(99+100)
=(1+100)*100/2
=5050
=(2²-1²)+(4²-3²)+(6²-5²)+……+(100²-99²)
=(1+2)+(3+4)+(5+6)+……+(99+100)
=(1+100)*100/2
=5050