计算:1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+···+1/60+···59/60
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/04/29 14:14:47
计算:1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+···+1/60+···59/60
1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+···+1/60+···59/60
=1/2+(1+2)/3+(1+2+3)/4.(1+2+3...+59)/60
=1/2+1+(1+1/2)+2+(2+1/2)...(29+1/2)
=(1+2+3...+29)*2+1/2*30
=870+15
=885
=1/2+(1+2)/3+(1+2+3)/4.(1+2+3...+59)/60
=1/2+1+(1+1/2)+2+(2+1/2)...(29+1/2)
=(1+2+3...+29)*2+1/2*30
=870+15
=885
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