(1+3+5⋯+1999+2001)-(2+4+6⋯1998+2000)(用递等式计算)
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![(1+3+5⋯+1999+2001)-(2+4+6⋯1998+2000)(用递等式计算)](/uploads/image/z/176204-20-4.jpg?t=%EF%BC%881%EF%BC%8B3%EF%BC%8B5%26%238943%3B%EF%BC%8B1999%EF%BC%8B2001%EF%BC%89%EF%BC%8D%EF%BC%882%EF%BC%8B4%EF%BC%8B6%26%238943%3B1998%EF%BC%8B2000%EF%BC%89%EF%BC%88%E7%94%A8%E9%80%92%E7%AD%89%E5%BC%8F%E8%AE%A1%E7%AE%97%EF%BC%89)
(1+3+5⋯+1999+2001)-(2+4+6⋯1998+2000)(用递等式计算)
(1+3+5⋯+1999+2001)-(2+4+6⋯1998+2000)(用递等式计算)
(1+3+5⋯+1999+2001)-(2+4+6⋯1998+2000)(用递等式计算)
原式=1+(3-2)+(5-4)+(7-6)+……+(2001-200)
=1+1+1+1+……+1
=(1+2001)/2
=1001