(1/2+1/3+1/4+。+1/50)+(2/3+2/4+2/5+。+2/50)+(3/4+3/5+。+3/50)+(48/49/48/50)+49/50
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(1/2+1/3+1/4+。+1/50)+(2/3+2/4+2/5+。+2/50)+(3/4+3/5+。+3/50)+(48/49/48/50)+49/50
=1/2+(1/3+2/3)+(1/4+2/4+3/4)+……+(1/50+2/50+3/50+……+49/50)
=1/2+1/3×(1+2)×2÷2+1/4×(1+3)×3÷2+……+1/50×(1+49)×49÷2
=1/2+2/2+3/2+……+49/2
=1/2×(1+49)×49÷2
=612.5
=1/2+(1/3+2/3)+(1/4+2/4+3/4)+……+(1/50+2/50+3/50+……+49/50)
=1/2+1/3×(1+2)×2÷2+1/4×(1+3)×3÷2+……+1/50×(1+49)×49÷2
=1/2+2/2+3/2+……+49/2
=1/2×(1+49)×49÷2
=612.5
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