1/1×2+1/2×3+1/3×4…+1/n×(n-1)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 05:55:58
1/1×2+1/2×3+1/3×4…+1/n×(n-1)1/1×2+1/2×3+1/3×4…+1/n×(n-1)1/1×2+1/2×3+1/3×4…+1/n×(n-1)原式=1-1/2+1/2-1/3

1/1×2+1/2×3+1/3×4…+1/n×(n-1)
1/1×2+1/2×3+1/3×4…+1/n×(n-1)

1/1×2+1/2×3+1/3×4…+1/n×(n-1)
原式=1-1/2+1/2-1/3+1/3-1/4+……+1/(n-1)-1/n
=1-1/n
=(n-1)/n

1/1×2+1/2×3+1/3×4…+1/n×(n-1)
=1-1/2+1/2-1/3+.....+1/(n-1)-1/n
=1-1/n
=(n-1)/n

=1-1/2+1/2-1/3+1/3-1/4+……+1/(n-1)-1/n
=1-1/n
=(n-1)/n