作业帮1/1×2+1/2×3+1/3×4+1/4×5+...+1/39×40
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 17:55:07
1/1×2+1/2×3+1/3×4+1/4×5+...+1/39×40
1/1×2+1/2×3+1/3×4+1/4×5+...+1/39×40
1/1×2+1/2×3+1/3×4+1/4×5+...+1/39×40
1/1×2+1/2×3+1/3×4+1/4×5+...+1/39×40
=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/39-1/40
=1-1/40
=39/40