简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/20 01:29:38
简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20简便计算:1/1×3+1/2×4+1/3×5+.+1/18×201/1×

简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20
简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20

简便计算:1/1×3+1/2×4+1/3×5+.+1/18×20
1/1×3+1/2×4+1/3×5+.+1/18×20
=(1-1/3+1/2-1/4+1/3-1/5+.+1/18-1/20)/2
=(1+1/2-1/19-1/20)/2

1/1×3+1/2×4+1/3×5+.......+1/18×20
=1/2(1-1/3+1/2-1/4+1/3-1/5+...+1/18-1/20)
=1/2×(1+1/2-1/19-1/20)
=531/780