化简 1/(1*2*3*...*100)+1/(2*3*4*.*101)+1/(3*4*5*.*102)+.+1/(10
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化简 1/(1*2*3*...*100)+1/(2*3*4*.*101)+1/(3*4*5*.*102)+.+1/(100*101*102*.*199)
化简 1/(1*2*3*...*100)+1/(2*3*4*.*101)+1/(3*4*5*.*102)+.+1/(100*101*102*.*199)
=1/99[1/1*2*3...99-1/2*3...100]+1/99[1/2*3.100-1/3*4*.101]+.+1/99[1/100*101.198-1/101*102.199]
=1/99[1/1*2*3...99-1/2*3.100+1/2*3...100-1/3*4...101+.1/100*101...198-1/101*102...199]
=1/99[1/1*2*3...99-1/101*102.199]
=1/99[1/1*2*3...99-1/2*3...100]+1/99[1/2*3.100-1/3*4*.101]+.+1/99[1/100*101.198-1/101*102.199]
=1/99[1/1*2*3...99-1/2*3.100+1/2*3...100-1/3*4...101+.1/100*101...198-1/101*102...199]
=1/99[1/1*2*3...99-1/101*102.199]
1,2,3,...,99,100; 2,3,4,...,100,101; 4,5,6,...,101,102;...10
1 2 3 .99 100 2 3 4 .100 101 3 4 5 .101 102 .100 101 102 .19
(-1)+2+(-3)+4+(-5)+6+.+(-99)+100+(-101)+102
1+2+3+4+5+.+100+101+102+103
1×2×3×4+2×3×4×5+3×4×5×6+.+99×100×101×102
谁般偶求下,感激不尽1/(1*2*3)+1/(2*3*4)+1/(3*4*5)...+1/(100*101*102)
1/(1+2+3)+1/(4+5+6)+.+1/(100+101+102) =?
1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+
(1-1/2+1/3-1/4+1/5-...+1/99-1/100)/[1/(1+101)+1/(2+102)+1/(3
1-1/2+1/3-1/4+...+1/99-1/100/1/1+101+1/2+102+1/3+103+...+1/5
1/1*2*3+1/2*3*4+1/3*4*5+...+1/99*100*101
1/1*2*3+1/2*3*4+1/3*4*5+.1/99*100*101