1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 01:11:51
![1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055](/uploads/image/z/134165-29-5.jpg?t=1%2B1%2F3%2B1%2F6%2B1%2F10%2B1%2F15%2B1%2F21%2B1%2F28%2B1%2F36%2B1%2F45%2B1%2F55%2B1%2F66%2B.%2B1%2F2021055)
1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055
1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055
1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055
1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/2021055
=1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+……+1/(1+2+……+2010)
=2/(1*2)+2/(2*3)+2/(3*4)+2/(4*5)+……+2/(2010*2011)
=2*(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/2010-1/2011)
=2*(1-1/2011)
=4020/2011