1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 20:08:49
1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?1/2×3+1/3×4+1/4×5+.+1/18

1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?
1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?

1/2×3+1/3×4+1/4×5+.+1/18×19+1/19×20等于?
如果是求1/(2*3)+1/(3*4)+1/(4*5)+...+1/(18*19)+1/(19*20)的话,这样:
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/18-1/19)+(1/19-1/20)
=1/2-1/20
=9/20