1²-2²+3²-4²+5²-6²+…-100²+101²=
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1²-2²+3²-4²+5²-6²+…-100²+101²=
1²-2²+3²-4²+5²-6²+…-100²+101²=
1²-2²+3²-4²+5²-6²+…-100²+101²=
1²-2²+3²-4²+5²-6²+…-100²+101²
=(101+100)+(99+98)+……(2+1)
=(101+1)*101/2
=51*101
=5151