奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900
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奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9
奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900
奥数网提问
1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900
奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900
原式=[1-1/(1*2)]+[1-1/(2*3)]+[1-1/(3*4)]+...+[1-1/(99*100)]
=99-[1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100)]
=99-(1/1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100)
=99-99/100
=98.01
奥数网提问1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900
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