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数列按照1,2,2,3,3,3,4,4,4,4,5,…的规律一直排下去,which of the following is the 100th number?A
数列按照1,2,2,3,3,3,4,4,4,4,5,…的规律一直排下去,which of the following is the 100th number?A
游客
2024-01-13
46
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问题
数列按照1,2,2,3,3,3,4,4,4,4,5,…的规律一直排下去,which of the following is the 100th number?
选项
A、14
B、13
C、15
D、12
E、11
答案
A
解析
S=1+2+3+…n-1+n=n(n+1)/2
当n=13时,S=91,也就是说第91个数是13,第92个数是14,14要出现14次,第100个数当然是14,选择A。
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