ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+…+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)的值a=1 b=-3

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 07:42:10
ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+…+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)的值a=1 b=-3

ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+…+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)的值a=1 b=-3
ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+…+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)的值
a=1 b=-3

ab/(a+b-1)(a+b)+ab/(a+b)(a+b+1)+ab/(a+b+1)(a+b+2)+…+ab/(a+b+98)(a+b+99)+ab/(a+b+99)(a+b+100)的值a=1 b=-3
原式=ab[1/(a+b-1)(a+b)+1/(a+b)(a+b+1)+1/(a+b+1)(a+b+2)+…+1/(a+b+98)(a+b+99)+1/(a+b+99)(a+b+100)]=ab[1/(a+b-1)-1/(a+b)+1/(a+b)-1/(a+b+1)+1/(a+b+1)-1/(a+b+2)+…+1/(a+b+98)-1/(a+b+99)+1/(a+b+99)-1/(a+b+100)]
=ab[1/(a+b)-1/(a+b+100)]=75/49

75/49