1+19/6+61/12+141/20+271/30+463/42 计算
答案:2 悬赏:60 手机版
解决时间 2021-02-16 05:41
- 提问者网友：伴风望海
- 2021-02-15 15:44
1+19/6+61/12+141/20+271/30+463/42 计算
最佳答案
- 五星知识达人网友：妄饮晩冬酒
- 2021-02-15 16:24
很简单
原式=1+3+5+7+9+11+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=12+12+12+1/2-1/3+1/3-1/4+1/5-1/6+1/6-1/7
=36+1/2-1/7
=36又5/14
原式=1+3+5+7+9+11+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=12+12+12+1/2-1/3+1/3-1/4+1/5-1/6+1/6-1/7
=36+1/2-1/7
=36又5/14
全部回答
- 1楼网友：不甚了了
- 2021-02-15 17:32
1+19/6+61/12+141/20+271/30+463/42
=1+(3+1/6)+(5+1/12)+(7+1/20)+(9+1/30)+(11+1/42)
=(1+3+5+7+9+11) +1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)
=(1+11)*6/2 +(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=36+1/2-1/7
=36+7/14-2/14
=36又5/14
=1+(3+1/6)+(5+1/12)+(7+1/20)+(9+1/30)+(11+1/42)
=(1+3+5+7+9+11) +1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)
=(1+11)*6/2 +(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=36+1/2-1/7
=36+7/14-2/14
=36又5/14
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