
有个数学题:1/2×4+1/4×6+1/6×8+...+1/198×200.
1个回答
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1/2*4+1/4*6+1/6*8+……+1/198*200
=1/2(1/2-1/4+1/4-1/6+1/6-1/8+...+1/198-1/200)
=1/2(1/2-1/200)
=99/400
=1/2(1/2-1/4+1/4-1/6+1/6-1/8+...+1/198-1/200)
=1/2(1/2-1/200)
=99/400
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