1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,

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1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,
1/1x3+1/3x5+1/5x7+.+1/49x51
求简便运算,

1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,
=1/2((1-1/3)+(1/3-1/5)+.+(1/49-1/51))=2(1-1/3+1/3-1/5+.-1/51))=1/2(1-1/51)=50/102