2道简便计算,急哦.1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)2.1/3×7+1/7×11+1/11×15+...+1/55×59

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 07:26:16
2道简便计算,急哦.1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)2.1/3×7+1/7×11+1/11×15+...+1/55×59
xő 0EW$@l_c,`0CP@*@` G@ };;&<+tݝU1] Z| {ժ#Ԍ!!!@0ª6pUX\P6"XHYXh͟6 ObO">tD9+r&֚[yFp5]ĉĠ/zv%^Aʃϒ$b\3/A۰

2道简便计算,急哦.1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)2.1/3×7+1/7×11+1/11×15+...+1/55×59
2道简便计算,急哦.
1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)
2.1/3×7+1/7×11+1/11×15+...+1/55×59

2道简便计算,急哦.1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)2.1/3×7+1/7×11+1/11×15+...+1/55×59
1.(1/1998-1)×(1/1997-1)×(1/1996-1)...(1/1001-1)×(1/1000-1)
=-1*(1997/1998)*(1996/1997)*(^^^^^省略^^^^^)*(999/1000)
=-999/1998
=-1/2
2.1/3×7+1/7×11+1/11×15+...+1/55×59
=(1/4)*(1/3-1/7+1/7-1/11^^^省略^^^^^+1/55-1/59)
=(1/4)*(1/3-1/59)
=(1/4)*(56/177)
=14/177

h