数学运算1/(80*81) + 1/(81*82) + .+1/(99*100)=?1/400 1/450 1/540 1/480

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数学运算1/(80*81) + 1/(81*82) + .+1/(99*100)=?1/400 1/450 1/540 1/480

数学运算1/(80*81) + 1/(81*82) + .+1/(99*100)=?1/400 1/450 1/540 1/480
数学运算1/(80*81) + 1/(81*82) + .+1/(99*100)=?
1/400 1/450 1/540 1/480

数学运算1/(80*81) + 1/(81*82) + .+1/(99*100)=?1/400 1/450 1/540 1/480
1/(80*81) + 1/(81*82) + .+1/(99*100)
=(1/80-1/81)+(1/81-1/82)+.+(1/99-1/100)
=1/80-1/100
=1/400

原式=1/80-1/81+1/81-1/82……+1/99-1/100=1/80-1/100=1/400

1/80+1/100=9/400