1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
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![1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算](/uploads/image/z/65859-51-9.jpg?t=1%2F1%C3%972%2B1%2F2%C3%973%2B1%2F3%C3%974%2B1%2F4%C3%975%2B%E2%80%A6%E2%80%A6%2B1%2F98%C3%9799%2B1%2F99%C3%97100%3D%EF%BC%88%EF%BC%89%E7%AE%80%E7%AE%97)
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1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=()简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/98-1/99)+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/98-1/99+1/99-1/100
=1-1/100
=99/100