2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11简便计算

来源：学生作业帮助网编辑：六六作业网时间：2024/11/17 08:34:24

2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11简便计算2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11简便计算20

2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11简便计算
2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11
简便计算

2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11简便计算
2002/1×3+2002/3×5+2002/5×7+2002/7×9+2002/9×11
=2002×1/2×(1/1×3+1/3×5+1/5×7+1/7×9+1/9×11)
=2002×1/2×(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=2002×1/2×(1-1/11)
=2002×1/2×10/11
=910