1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/22 12:24:12

原式=1-1/2+1/2-1/3+1/3-1/4-1/4-1/5+1/5-1/6+.+1/11-1/12
=1-1/12
=11/12
再问：麻烦，给详解一下
再答： 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132 =1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+...... +1/12*11 =1-1/2+1/2-1/3+1/3-1/4-1/4-1/5+1/5-1/6+......+1/11-1/12 =1-1/12 =11/12

若a=1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132+1/ 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132= 2\1+6\1+12\1+20\1+30\1+42\1+56\1+72\1+90\1+110\1+132\1=? 2\1+6\1+12\1+20\1+30\1+42\1+56\1+72\1+90\1+110\1+132\1+156\1 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=? 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+190+1/110=? 简算(要有过程）(1)1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132（2）计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=? 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?用简便运算! 求解小学数学题1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?