问题 解答题

2+4-6+8+10-12+14+16-18+…+1202+1204-1206+1208+1210-1212.

答案

2+4-6+8+10-12+14+16-18+…+1202+1204-1206+1208+1210-1212,

=(2+4+6+8+10+12+14+16+18+…+1202+1204+1206+1208+1210+1212)-2×(6+12+18+…+1206+1212),

=(2+1212)×(1212÷2÷2)-2×(6+1212)×((1212-6)÷6+1)÷2

=1214×303-2×1218×202÷2

=367842-246036,

=121806.

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