1/2加1/6加1/12加1/20加1/30加1/42加1/56等于?
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:2024/07/24 04:38:06
1/2加1/6加1/12加1/20加1/30加1/42加1/56等于?
![1/2加1/6加1/12加1/20加1/30加1/42加1/56等于?](/uploads/image/z/4557414-30-4.jpg?t=1%2F2%E5%8A%A01%2F6%E5%8A%A01%2F12%E5%8A%A01%2F20%E5%8A%A01%2F30%E5%8A%A01%2F42%E5%8A%A01%2F56%E7%AD%89%E4%BA%8E%3F)
1/2+1/6+1/12+1/20+1/30+1/42+1/56
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/*(6*7)+1/(7*8)
=1-1/2+1/2-1/3+1/3-1/4+.1/6-1/7+1/7-1/8
=1-1/8
=7/8.
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/*(6*7)+1/(7*8)
=1-1/2+1/2-1/3+1/3-1/4+.1/6-1/7+1/7-1/8
=1-1/8
=7/8.
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