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.