1-1/2-1/4-1/8-1/16-1/321/2+1/4+1/8+16/11/2+1/6+1/12+1/20+1/301/3+1/15+1/35+1/63

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1-1/2-1/4-1/8-1/16-1/321/2+1/4+1/8+16/11/2+1/6+1/12+1/20+1/301/3+1/15+1/35+1/63

2022-09-21 12:50:51 18次反馈错误加入收藏正确率 : 100%

题目内容：

1-1/2-1/4-1/8-1/16-1/32
1/2+1/4+1/8+16/1
1/2+1/6+1/12+1/20+1/30
1/3+1/15+1/35+1/63

优质答案解析

王老师

回答题目：2621条

1-1/2-1/4-1/8-1/16-1/32
=1-(1-1/2)-（1/2-1/4）-（1/4-1/8）-（1/8-1/16）-（1/16-1/32）
=1-1+1/2-1/2+1/4-1/4+1/8-1/8+1/16-1/16+1/32
=1/32
1/2+1/4+1/8+16/1
=(1-1/2)+(1/2-1/4)+（1/4-1/8）+（1/8-1/16）
=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16
=1-1/16
=15/16
1/2+1/6+1/12+1/20+1/30
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6
1/3+1/15+1/35+1/63
=(2/3+2/15+2/35+2/63)÷2
=【（1-/3）+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)】÷2
=【1-1/3+1/3-1/5+1/5-1/7+1/7-1/9】÷2
=【1-1/9】÷2
=（8/9）÷2
=4/9

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