1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 20:37:24
1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1

1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1
1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1

1x2/1+2x3/1+3x4/1+4x5/1+…+39x40/1
1/1*2=1-1/2
1/2*3=1/2-1/3
1/3*4=1/3-1/4
.
1/39*40=1/39-1/40
∴1/1*2+1/2*3+1/3*4+1/4*5+.1/39*40
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-.1/39+1/39-1/40
=1-1/40
=39/40

等于39分之40

题目不清楚!主要是分母问题。

答案是39/40