化简：1/（a-1）+1/{（a-1）(a+2)}+1/{(a-2)(a-3)``````+1/｛（a-99）(a-10

化简：1/（a-1）+1/{（a-1）(a+2)}+1/{(a-2)(a-3)``````+1/｛（a-99）(a-100)｝
落趁 1年前 已收到2个回答 举报
赞

wxkawxk 幼苗

共回答了20个问题采纳率：90% 举报

1/（a-1）+1/{（a-1）(a-2)}+1/{(a-2)(a-3)``````+1/｛（a-99）(a-100)｝ =1/(a-1)+1/(a-1)-1/(a-2)+1/(a-2)-1/(a-3)+...+1/(a-99)-1/(a-100) =2/(a-1)-1/(a-100) =(a-199)/[(a-1)(a-100) 1/{（a-1）(a+2)}应该是1/{（a-1）(a-2)}吧?

1年前

1

小猪伴侣 花朵

共回答了17个问题采纳率：88.2% 举报

1/(a-1)+1/(a-1)(a-2)+.....1/(a-99)(a-100) =1/(a-1)+[1/(a-2)-1/(a-1)]+....[1/(a-100)-1/(a-99)]=1/(a-1)+1/(a-2)-1/(a-1)+1/(a-3)-1/(a-2)+........+1/(a-100)-1/(a-99)=1/(a-100)

1年前

0

你能帮帮他们吗

精彩回答

Copyright © 2024 YULUCN.COM - 雨露学习互助 - 16 q. 0.034 s. - webmaster@yulucn.com