题目
1/3+1/6+1/10+1/15+.+1/4950
提问时间:2021-04-01
答案
1/3+1/6+1/10+1/15+.+1/4950
=2×(1/6+1/12+1/20+1/30+……+1/9900)
=2×(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100)
=2×(1/2-1/100)
=1-1/50
=49/50
=2×(1/6+1/12+1/20+1/30+……+1/9900)
=2×(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100)
=2×(1/2-1/100)
=1-1/50
=49/50
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