计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/02 22:28:45

计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?
计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?

计算:1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22=?
1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22
=1/3(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+1/16-1/19+1/19-1/22)
=1/3(1-1/22)
=1/3 *(21/22)
=7/22

1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22
=(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+1/16-1/19+1/19-1/22)÷3
=(1-1/22)÷3
=21/22÷3
=7/22