1/12+9/20-1/30-13/42+1/56 1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35这两道题必须用裂项的方法做!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 18:51:19
![1/12+9/20-1/30-13/42+1/56 1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35这两道题必须用裂项的方法做!](/uploads/image/z/69741-45-1.jpg?t=1%2F12%2B9%2F20-1%2F30-13%2F42%2B1%2F56+1%2F3%2B3%2F4%2B2%2F5%2B5%2F7%2B7%2F8%2B9%2F20%2B10%2F21%2B11%2F24%2B19%2F35%E8%BF%99%E4%B8%A4%E9%81%93%E9%A2%98%E5%BF%85%E9%A1%BB%E7%94%A8%E8%A3%82%E9%A1%B9%E7%9A%84%E6%96%B9%E6%B3%95%E5%81%9A%21)
1/12+9/20-1/30-13/42+1/56 1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35这两道题必须用裂项的方法做!
1/12+9/20-1/30-13/42+1/56 1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35
这两道题必须用裂项的方法做!
1/12+9/20-1/30-13/42+1/56 1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35这两道题必须用裂项的方法做!
1/12+9/20-1/30-13/42+1/56 =1/3-1/4+1/4+1/5-1/5+1/6-1/6-1/7+1/7-1/8=1/3-1/8=5/24
1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35
=1/ 3 +3 /4 +2 /5 +5 /7 +7/ 8 +(1/ 5 +1/ 4 )+(1/ 3 +1 /7 )+(1/ 3 +1 /8 )+(12 /35 +7 /35 ),
=1 /3 +3 /4 +2/ 5 +5 /7 +7 /8 +(1/ 5 +1 /4 )+(1 /3 +1 /7 )+(1 /3 +1 /8 )+(1 /7 +1 /5 +1/ 5 ),
=1 /3 ×3+(3/ 4 +1/ 4 )+(2 /5 +1 /5 ×3)+(5 /7 +1/ 7 ×2)+(7/ 8 +1 /8 ),
=1+1+1+1+1,
=5;