计算1/{a(a+1)}+1/{(a+1)(a+1)}+{(a+2)(a+3)}+.+1/{(a+2005)(a+2006))}答好了,好大的诱惑哦!

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 16:36:40

计算1/{a(a+1)}+1/{(a+1)(a+1)}+{(a+2)(a+3)}+.+1/{(a+2005)(a+2006))}答好了,好大的诱惑哦!
计算1/{a(a+1)}+1/{(a+1)(a+1)}+{(a+2)(a+3)}+.+1/{(a+2005)(a+2006))}
答好了,好大的诱惑哦!

计算1/{a(a+1)}+1/{(a+1)(a+1)}+{(a+2)(a+3)}+.+1/{(a+2005)(a+2006))}答好了,好大的诱惑哦!
1/{a(a+1)}+1/{(a+1)(a+1)}+{(a+2)(a+3)}+.+1/{(a+2005)(a+2006))}
=1/a-1/(a+1)+1/(a+1)-1/(a+1)}++1/(a+2)-1/(a+3)+.+1/(a+2005)-1/(a+2006))
=1/a-1/(a+2006))
=2006/[a(a+2006)]