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(1²/2002-2²/2002+.13²/2002-14²/2002+15&#

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/09 12:01:41
(1²/2002-2²/2002+.13²/2002-14²/2002+15²/2002
(1²/2002-2²/2002+.13²/2002-14²/2002+15²/2002
=(1²-2²+3²-4²+.+13²-14²+15²)/2002
=(1+(3-2)(3+2)+(5-4)(5+4)+.+(15-14)(15+14))/2002
=(1+2+3+...+14+15)/2002
=【(1+15)×15÷2】/2002
=120/2002
=60/1001