1/20+1/30+1/42+.+1/132+1/156=1-1/2-1/4-1/8-1/16-1/32-.1/1024=还有一道:2+3 1/6+5 1/12+7 1/20+11 1/30+13 1/42=还有:2/1×3×5+2/3×5×7+2/5×7×9+2/7×9×11=2/11×13+2/13×15+2/15×17+2/17×19+2/19×21=

来源：学生作业帮助网编辑：作业帮时间：2024/05/02 12:31:13

1/20+1/30+1/42+.+1/132+1/156=1-1/2-1/4-1/8-1/16-1/32-.1/1024=还有一道:2+3 1/6+5 1/12+7 1/20+11 1/30+13 1/42=还有:2/1×3×5+2/3×5×7+2/5×7×9+2/7×9×11=2/11×13+2/13×15+2/15×17+2/17×19+2/19×21=
1/20+1/30+1/42+.+1/132+1/156=
1-1/2-1/4-1/8-1/16-1/32-.1/1024=
还有一道:2+3 1/6+5 1/12+7 1/20+11 1/30+13 1/42=
还有:2/1×3×5+2/3×5×7+2/5×7×9+2/7×9×11=
2/11×13+2/13×15+2/15×17+2/17×19+2/19×21=

1/20+1/30+1/42+.+1/132+1/156=1-1/2-1/4-1/8-1/16-1/32-.1/1024=还有一道:2+3 1/6+5 1/12+7 1/20+11 1/30+13 1/42=还有:2/1×3×5+2/3×5×7+2/5×7×9+2/7×9×11=2/11×13+2/13×15+2/15×17+2/17×19+2/19×21=
1/20+1/30+1/42+.+1/132+1/156=1/4-1/5+1/5-1/6+1/6-1/7+...-1/12+1/12-1/13=1/4-1/13=9/52（裂项相消）
1-1/2-1/4-1/8-1/16-1/32-.1/1024=1-（1/2+1/4+1/8+1/16+...+1/1024）=1-1/2[1-（1/2）^10]/(1-1/2)=1-(1-1/1024)=1/1024
2+3 1/6+5 1/12+7 1/20+11 1/30+13 1/42=2+3+5+7+11+13+1/6+1/12+1/20+1/30+1/42=41+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7=41+1/2-1/7=41 5/14(还是裂项相消)

第1题是365
2是1536
3是106
4是584
5是1536

1/6+1/12+1/20+1/30+1/42 1/3-1/12-1/20-1/30-1/42 1／6+1／12+1／20+1／30+1／42 1/12+1/20+1/30+1/42+.+1/2450 1/20+1/30+1/42+1/56简便计算, 1/20+1/30+1/42+……+1/132 1/20+1/30+1/42+.+1/132=? 1/20+1/30+1/42+1/56=1/20+1/30+1/42+1/56= 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/2+1/6+1/12+1/20+1/30+1/42+1/56 简算 1/2+1/6+1/12+1/20+1/30+1/42+1/56简算, 1/12+1/20+1/30+1/42+1/56+1/72+1/90 简便运算：1/2+1/6+1/12+1/20+1/30+1/42+1/56 1+1/2+1/6+1/12+1/20+1/30+1/42的简便计算 2/1+6/1+12/1+20/1+30/1+42/1+56/1=? 1/12+1/20+1/30+1/42+1/56+1/72+1/90 1/6+1/12+1/20+1/30+1/42+1/56+1/72 简便计算