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2×1-2+2×2-3+2×3-4+2×4-5+...+2×99-100+2×100-101怎么做???急急急啊
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2×1-2+2×2-3+2×3-4+2×4-5+...+2×99-100+2×100-101
=2×1+2×2+2×3+2×4+...+2×99+2×100-2-3-4-5-.....-100-101
=2×(1+2+3+4+........+99+100)-(2+3+4+5+.....+100+101)
=2×(1+100)×100/2-(2+101)×100/2
=101×100-103×50
=10100-5150
=4950
=2×1+2×2+2×3+2×4+...+2×99+2×100-2-3-4-5-.....-100-101
=2×(1+2+3+4+........+99+100)-(2+3+4+5+.....+100+101)
=2×(1+100)×100/2-(2+101)×100/2
=101×100-103×50
=10100-5150
=4950
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=1+1-2+2+2-3+3+3-4+4+4-5+5+5...........-100+100+100-101
=(1+2+3+4+5.......+100)-101
=(0+100)+(1+99)+(2+98)...-101
=100X49+50-101
=4950-101
=4849
=(1+2+3+4+5.......+100)-101
=(0+100)+(1+99)+(2+98)...-101
=100X49+50-101
=4950-101
=4849
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