1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/29 23:50:07

1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66=5/6.
你可以找下规律1/3+1/6=1/2,1/3+1/6+1/10=3/5=1.5/2.5,1/3+1/6+1/10+1/15=2/3,1/3+1/6+1/10+1/15+1/21=5/7=2.5/3.5,1/3+1/6+1/10+1/15+1/21+1/28=3/4,规律为每多加一项,值的分子和分母同时+上0.5.
另解,原式=1/3=(1/2-1/3)+(1/6-1/15)+1/15+(1/12-1/28)+1/28+(1/20-1/45)+1/45+(1/30-1/66)+1/66
=1/2+1/6+1/12+1/20+1/30
= 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
再问：帮我帮全部过程完整的写上
再答：我给了你另一个解，你看下

1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66 1\3+1\6+1\10+1\15+1\21+1\28+1\36+1\45+1\55+1\66+1\78+1\91+1\ 1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+.+1/202105 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+1/78+1/91 【急】!简便运算!(1) 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66 计算：1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55+1/66+q/78+1/91 1\3+1\6+1\10+1\15+1\21+1\28+1\36+1\45+1\50+1\55 1/3 + 1/6 + 1/10 + 1/15 + 1/21 + 1/28 + 1/36 + 1/45 + 1/55=? 1/3+1/8+1/10+1/15+1/21+1/28+1/36+1/45+1/55 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/50+1/55=? 奥数数学题1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55简便运算急~ 小六计算题1+1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45+1/55=?如果把他都改成-号