1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+…………1/99×1/100

日期:2021-09-08 13:20:02 人气:1

1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+…………1/99×1/100

1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+……+1/99×1/100
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+……+(1/99-1/100)
=1/2-1/100
=49/100
    A+
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