230问答网 > 阅读：1⼀1*2=1-1⼀2,1⼀2*3=1⼀2-1⼀3,1⼀3*4=1⼀3-1⼀4...若[a-1]+[ab-2]=0

阅读：1⼀12=1-1⼀2,1⼀23=1⼀2-1⼀3,1⼀3*4=1⼀3-1⼀4...若[a-1]+[ab-2]=0

2024-12-29 22:53:45

推荐回答（1个）

回答1：

解：因为[a-1]+[ab-2]=0
所以a=1，b=2
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2013)(b+2013)
=1/2+1/(2*3)+1/(3*4)+……+1/(2014*2015)
=1-1/2+1/2-1/3+1/3-1/4+……+1/2014-1/2015
=1-1/2015
=2014/2015