:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55 能简便的要简便

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:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55能简便的要简便:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55能简便的要简便:2/1×+2/3×5+2/5×7+2/

:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55 能简便的要简便
:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55
能简便的要简便

:2/1×+2/3×5+2/5×7+2/7×9+.+2/33×55 能简便的要简便
=2(1/1*3+1/3*5+...+1/33*35)
=2[1/2*(1-1/3)+1/2*(1/3-1/5)+...+1/2*(1/33-1/35)
=1-1/35
=34/35