1*5/1+5*9/1+9*13/1+13*17/1+17*21/1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 01:39:56
1*5/1+5*9/1+9*13/1+13*17/1+17*21/11*5/1+5*9/1+9*13/1+13*17/1+17*21/11*5/1+5*9/1+9*13/1+13*17/1+17*21

1*5/1+5*9/1+9*13/1+13*17/1+17*21/1
1*5/1+5*9/1+9*13/1+13*17/1+17*21/1

1*5/1+5*9/1+9*13/1+13*17/1+17*21/1
1*5/1+5*9/1+9*13/1+13*17/1+17*21/1
=1/4(1-1/5)+1/4(1/5-1/9)+1/4(1/9-1/13)+1/4(1/13-1/17)+1/4(1/17-1/21)
=1/4[1-1/5+1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21]
=1/4(1-1/21)
=1/4×20/21
=5/21

1/(1×5)+1/(5×9)+1/(9×13)+1/(13×17)+1/(17×21)
=1/4×(1-1/5+1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21)
=1/4×(1-1/21)
=1/4×20/21
=5/21

1*5/1+5*9/1+9*13/1+13*17/1+17*21/1
=1/4(1-1/5)+1/4(1/5-1/9)+1/4(1/9-1/13)+1/4(1/13-1/17)+1/4(1/17-1/21)
=1/4[1-1/5+1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21]
=1/4(1-1/21)
=1/4×20/21
=5/21
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