The sequence 1/1,1/2,2/2,1/3,2/3,3/3,1/4,2/4,3/4,4/4,1/5,2/5…,then the 2011th number is _.英汉小词典:sequence序列

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Thesequence1/1,1/2,2/2,1/3,2/3,3/3,1/4,2/4,3/4,4/4,1/5,2/5…,thenthe2011thnumberis_.英汉小词典:sequence序列T

The sequence 1/1,1/2,2/2,1/3,2/3,3/3,1/4,2/4,3/4,4/4,1/5,2/5…,then the 2011th number is _.英汉小词典:sequence序列
The sequence 1/1,1/2,2/2,1/3,2/3,3/3,1/4,2/4,3/4,4/4,1/5,2/5…,then the 2011th number is _.
英汉小词典:sequence序列

The sequence 1/1,1/2,2/2,1/3,2/3,3/3,1/4,2/4,3/4,4/4,1/5,2/5…,then the 2011th number is _.英汉小词典:sequence序列
楼上的过程有计算有误了
正确的解为:
根据题意可知
分母为多少就有多少个分母相同的分数,于是
n/n的顺序为:
1+2+3+……+n=n(n+1)/2
令n(n+1)/2=2011得
n(n+1)=4022
62×63=39064022
所以n=63时,n(n+1)/2=63×(63+1)/2=2016
即2016个数是63/63
倒推得第2011个数是58/63.
不明白欢迎追问,懂了请采纳,

总个数S=(1+n)n/2 当n=64时,S=2016 也就是说第2016个数是64/64 倒推第2011个数是,58/63
以上回答你满意么?

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